McGraw Hill Math Grade 6 Lesson 18.6 Answer Key Volume of a Solid

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 18.6 Volume of a Solid will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 18.6 Volume of a Solid

Exercises
SOLVE
Question 1.
A football field measures 360 ft long and 165 ft wide. If a construction company is told that they need to have 3 feet of gravel under the field for proper drainage, how many cubic yards do they need to order?
McGraw Hill Math Grade 6 Lesson 18.6 Answer Key Volume of a Solid 1
Answer:
Number of cubic yards they need to order = 178,200.

Explanation:
Length of the football field = 360 feet.
Width of the football field = 165 feet.
Depth of the gravel = 3 feet.
Area of the football = Length of the football field × Width of the football field × Length of the gravel
= 360 × 165
= 59400.
Number of cubic yards they need to order = Area of the football × Depth of the gravel
= 59,400 × 3
= 178,200.

Question 2.
A shoe box has dimensions of 12 inches by 10 inches by 7 inches. How many cubic inches is it?
McGraw Hill Math Grade 6 Lesson 18.6 Answer Key Volume of a Solid 2
Answer:
Volume of the shoe box = 840 cubic inches.

Explanation:
Length of the shoe box = 12 inches.
Width of the shoe box = 10 inches.
Height of the shoe box = 7 inches.
Volume of the shoe box = Length of the shoe box × Width of the shoe box × Height of the shoe box
= 12 × 10 × 7
= 120 × 7
= 840 cubic inches.

Question 3.
What is the volume of a cube with sides of 5 ft?
McGraw Hill Math Grade 6 Lesson 18.6 Answer Key Volume of a Solid 3
Answer:
Volume of a cube = 125 cubic feet.

Explanation:
Side of the cube = 5 feet.
Volume of a cube = Side of the cube × Side of the cube × Side of the cube
= 5 × 5 × 5
= 25 × 5
= 125 cubic feet.

Question 4.
A shipping box has dimensions of 6 in. by 5 in. by 8 in. If a pound of granola takes up a cubic inch, how many pounds of granola can you put in the box?
Answer:
Number of pounds of granola can you put in the box = 240.

Explanation:
Length of the shipping box = 6 inches.
Width of the shipping box = 5 inches.
Height of the shipping box = 8 inches.
Volume of the shipping box = Length of the shipping box × Width of the shipping box  × Height of the shipping box
= 6 × 5 × 8
= 30 × 8
= 240 cubic inches.
If a pound of granola takes up a cubic inch.
=> Number of pounds of granola can you put in the box = Volume of the shipping box ÷ 1 cubic inch
=> 240 cubic inches ÷ 1 cubic inch
=> 240.

Question 5.
A rectangular solid with sides of 8 ft by 4 ft by 11 ft has what volume?
Answer:
Volume of the rectangular solid = 352 cubic feet.

Explanation:
Length of the rectangular solid = 8 feet.
Width of the rectangular solid = 4 feet.
Height of the rectangular solid = 11 feet.
Volume of the rectangular solid = Length of the rectangular solid × Width of the rectangular solid × Height of the rectangular solid
= 8 × 4 × 11
= 32 × 11
= 352 cubic feet.

Question 6.
A cube that has sides of 16 inches has how many cubic yards of volume?
Answer:
Volume of the cube = 1911.03 cubic yards.

Explanation:
Side of the cube = 16 inches.
Volume of the cube = Side of the cube × Side of the cube × Side of the cube
= 16 × 16 × 16
= 256 × 16
= 4,096 cubic inches.
1 cubic inches = 2.14335 cubic yards
=> 4,096 cubic inches = 4,096 × 2.14335
= > 1911.03 cubic yards.

Question 7.
Jim built a rectangular prism out of \(\frac{1}{2}\) -inch cubes. The prism is 5 cubes long, 2 cubes wide, and 2 cubes tall. What is the volume of the prism?
Answer:
Volume of the prism = 20 cubic cubes.

Explanation:
Volume of the rectangular prism = \(\frac{1}{2}\) -inch cubes.
Length of the prism = 5 cubes.
Width of the prism = 2 cubes.
Height of the prism = 2 cubes.
Volume of the prism = Length of the prism × Width of the prism × Height of the prism
= 5 × 2 × 2
= 10 × 2
= 20 cubic cubes.

Question 8.
Bob is packing a rectangular box with sugar cubes. If the box measures 4.5 inches by 3.5 inches by 2 inches, how many \(\frac{1}{2}\)-inch sugar cubes will fit in the box?
Answer:
Number of sugar cubes fit in the box = 40.

Explanation:
Length of the box = 5 cubes.
Width of the box = 2 cubes.
Height of the box = 2 cubes.
Volume of the box = Length of the box × Width of the box × Height of the box
= 5 × 2 × 2
= 10 × 2
= 20 cubic inches.
Length of the sugar cube = \(\frac{1}{2}\)-inch
Number of sugar cubes fit in the box = Volume of the box ÷ Length of the sugar cube
= 20  ÷ \(\frac{1}{2}\)
= 40 .

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