# Texas Go Math Grade 8 Module 10 Answer Key Surface Area

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## Texas Go Math Grade 8 Module 10 Answer Key Surface Area

Find the area of each figure.

Question 1.
square with side lengths of 9.3 cm __________
Given,
length of the side = 9.3 cm
We have to find the area of a square.
We know that,
Area of a square = s × s
A = 9.3 × 9.3
A = 86.49 sq. cm
Thus the area of the square is 86.49 sq. cm.

Question 2.
triangle with base 14 in. and height 7 in ____________
Given,
base = 14 in.
height = 7 in.
We know that,
Area of a triangle = 1/2 × base × height
Area = 1/2 × 14 × 7
A = 7 × 7
A = 49 sq. inches
Thus the area of the triangle is 49 sq. inches.

Question 3.
rectangle with length 2$$\frac{1}{2}$$ ft and width 1$$\frac{1}{2}$$ ft ___________
Given,
length = 2$$\frac{1}{2}$$ ft
width = 1$$\frac{1}{2}$$ ft
We know that,
Area of a rectangle =  length ×  width
A = $$\frac{5}{2}$$ × $$\frac{3}{2}$$
A = $$\frac{15}{2}$$
A = 7$$\frac{1}{2}$$ sq. ft
Thus the area of a rectangle is 7$$\frac{1}{2}$$ sq. ft

Question 4.
triangle with base 6.4 m and height 3.8 m ___________
Given,
base = 6.4 m
height = 3.8 m
We know that,
Area of a triangle = 1/2 × base × height
Area = 1/2 × 6.4 m × 3.8 m
A = 3.2 × 3.8
A = 12.16 sq. meters
Thus the area of the triangle is 12.16 sq. meters

Find the area of each circle. Use 3.14 for π.

Question 5.
r = 18 in. _________
Given,
We know that,
Area of a circle = πr²
Area = 3.14 × (18)²
Area =1017.88 sq. inches
Thus the area of the circle is 1017.88 sq. inches.

Question 6.
r = 7.5 m __________
Given,
We know that,
Area of a circle = πr²
Area = 3.14 × (7.5)²
Area =176.71 sq. meters
Thus the area of the circle is 1017.88 sq. meters.

Question 7.
r = 2$$\frac{1}{2}$$ ft ___________
Given,
radius =2$$\frac{1}{2}$$ ft
We know that,
Area of a circle = πr²
Area = 3.14 × (2$$\frac{1}{2}$$)²
Area =19.63 sq. ft
Thus the area of the circle is 19.63 sq. ft

Visualize Vocabulary

Use the ✓ words to complete the chart.

Understand Vocabulary

Complete the sentences using the review words.

Question 1.
A three-dimensional figure in which six faces are rectangles is a ___________.
Answer: A three-dimensional figure in which six faces are rectangles is a cuboid.

Question 2.
An individual surface of a solid object is a ____________.
Answer: An individual surface of a solid object is a face.