# McGraw Hill Math Grade 6 Lesson 19.4 Answer Key Perimeter, Area, and Volume of a Solid: Metric

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 19.4 Perimeter, Area, and Volume of a Solid: Metric will engage students and is a great way of informal assessment.

## McGraw-Hill Math Grade 6 Answer Key Lesson 19.4 Perimeter, Area, and Volume of a Solid: Metric

Exercises
SOLVE
Question 1.
What is the perimeter of a 5-meter square? Perimeter of the square = 20 m.

Explanation:
Side of the square = 5 m.
Perimeter of the square = 4 × Side of the square
= 4 × 5
= 20 m.

Question 2.
What is the area of a rectangle with sides of 27 km and 1.1 km? Area of a rectangle = 29.7 square km.

Explanation:
Length of the rectangle = 27 km.
Width of the rectangle = 1.1 km.
Area of a rectangle = Length of the rectangle × Width of the rectangle
= 27 × 1.1
= 29.7 square km.

Question 3.
A cube with sides of 2 m has what volume? Volume of a cube = 8 cubic m.

Explanation:
Side of a cube = 2m.
Volume of a cube = Side of a cube × Side of a cube × Side of a cube
= 2 × 2 × 2
= 4 × 2
= 8 cubic m.

Question 4.
A square with sides of 1.2 m has an area of how many sq cm? A square with sides of 1.2 m has an area of 14,400 sq cm.

Explanation:
Side of a square = 1.2 m.
Area of the square = Side of a square × Side of a square
= 1.2 × 1.2
= 1.44 square m.
Conversion:
1 sq m = 10,000 sq cm.
=> 1.44 square m = 1.44 × 10,000
=> 14,400 sq cm.

Question 5.
A cube with sides of 3.6 km has a volume of how many cubic meters? A cube with sides of 3.6 km has a volume of 46,65,60,000 cubic m.

Explanation:
Side of the cube = 3.6 km.
Volume of the cube = Side of the cube × Side of the cube  × Side of the cube
= 3.6 × 3.6 × 3.6
= 12.96 × 3.6
= 46.656 cubic km.
Conversion:
1 cubic km = 1000000000 cubic m.
=> 46.656 cubic km = 1,00,00,00,000 × 46.656
=> 46,65,60,000 cubic m.

Question 6.
What is the area of a triangle with a base of 11 m and a height of 18 m? Area of the triangle = 99 square m.

Explanation:
Base of the triangle = 11m.
Height of the triangle = 18m.
Area of the triangle = $$\frac{1}{2}$$ × Base of the triangle × Height of the triangle
= $$\frac{1}{2}$$ × 11 × 18
= 11 × 9
= 99 square m.

Question 7.
A rectangular prism has a base of 3 m by 10 m and a height of 4 m. What is its volume?
Volume of the rectangular prism = 120 cubic m.

Explanation:
Length of the rectangular prism = 10 m.
Width of the rectangular prism = 3m
Height of the rectangular prism = 4m.
Volume of the rectangular prism = Length of the rectangular prism × Width of the rectangular prism × Height of the rectangular prism
= 10 × 3 × 4
= 30 × 4
= 120 cubic m.

Question 8.
What is the volume of air contained in a 500-m-high tent over a field that measures 300 m by 400 m?
Volume of the tent = 6,00,00,000 cubic m.

Explanation:
volume of air contained in a 500-m-high tent over a field that measures.
Length of the tent = 400 m.
Width of the tent = 300 m.
Height of the tent = 500 m.
Volume of the tent = Length of the tent × Width of the tent × Height of the tent
= 400 × 300 × 500
= 120000 × 500
= 6,00,00,000 cubic m.

Question 9.
Rita walks 5 km to the east before walking 4 km to the north. She then turns to the west and walks 5 km. How many kilometers will she have to walk to return to her starting point. What was her total distance in meters?
Total distance travelled = 18 km.

Explanation:
Number of kilometers Rita walks to the east = 5.
Number of kilometers Rita walks to the north = 4.
Number of kilometers Rita walks to the west = 5.
Number of kilometers Rita walks to the starting point = 4.
Total distance travelled = Number of kilometers Rita walks to the east + Number of kilometers Rita walks to the north + Number of kilometers Rita walks to the west + Number of kilometers Rita walks to the starting point
= 5 + 4 + 5 + 4
= 9 + 5 + 4
= 14 + 4
= 18 km.

Question 10.
Calculate the volume, in cubic meters, of a swimming pool with a level bottom. It is in the shape of a rectangle with sides of 15 m by 9 m, and with a depth of 3 m. volume of the swimming pool = 405 cubic m.

Explanation:
Length of the swimming pool = 15 m.
Width of the swimming pool = 9m.
Height of the swimming pool = 3m.
Volume of the swimming pool = Length of the swimming pool × Width of the swimming pool × Height of the swimming pool
= 15 × 9 × 3
= 135 × 3
= 405 cubic m.

Question 11.
What is the area of a triangle with a base of 10 m and a height of 8 m? Area of a triangle = 40 square m.

Explanation:
Base of the triangle = 10 m.
Height of the triangle = 8 m.
Area of a triangle = $$\frac{1}{2}$$ × Base of the triangle × Height of the triangle
= $$\frac{1}{2}$$ × 10 × 8
= 5 × 8
= 40 square m.

Question 12.
What is the volume of a rectangular solid that is 2 km by 13 km by 8 km? Volume of the rectangular solid = 208 cubic km.

Explanation:
Length of the rectangular solid = 13 km.
Width of the rectangular solid = 8 km.
Height of the rectangular solid = 2 km.
Volume of the rectangular solid = Length of the rectangular solid × Width of the rectangular solid  × Height of the rectangular solid
= 13 × 8 × 2
= 104 × 2
= 208 cubic km.

Question 13.
If you are traveling at 100 kph, how many meters would you travel in 15 minutes?
Number of kilometers 15 minutes travelled = 20.

Explanation:
Number of kilometers per hour travelled = 100.
Conversion:
1 hour = 60 minutes.
Number of kilometers 15 minutes travelled = (100 × 15) ÷ 60
= 1500 ÷ 60
= 20.

Question 14.
What is the area of a rectangle with sides of 4 m and 7 m?
Area of a rectangle = 28 square m.

Explanation:
Length of the rectangle = 7m.
Width of the rectangle = 4m.
Area of a rectangle = Length of the rectangle × Width of the rectangle
= 7 × 4
= 28 square m.

Question 15.
A carpet store charges by the square meter for carpet, and the store rounds up to the next square meter. How much carpet should be ordered for a room that is 5.5 m by 7.1 m?
Area of the carpet = 39.05 square m.

Explanation:
Length of the carpet = 7.1 m.
Width of the carpet = 5.5 m.
Area of the carpet = Length of the carpet × Width of the carpet
= 7.1 × 5.5
= 39.05 square m.

Question 16.
Jim is calculating how much dirt he will have to haul away when he digs a hole for the foundation of a house. He knows that a dump truck can carry 6 cubic meters of dirt at a time. The hole for the house is going to be 10 m by 7 m and 2 m deep. How many truckloads will he be filling?