Bluebook SAT Test Area and Volume 10

Question 1

An equilateral triangle has side length 8. What is its area? (Leave answer in simplified radical form.)

Accepted Answer

16√3

Answer

32√3

Answer

64√3

Answer

8√3

Question 2

A cylinder has radius 3 and height h. If the volume is 54π, what is h?

Accepted Answer

6

Answer

9

Answer

3

Answer

18

Question 3

A trapezoid has parallel sides of 7 ft and 13 ft. If its area is 100 ft², what is its height?

Accepted Answer

10 ft

Answer

8 ft

Answer

12 ft

Answer

5 ft

Question 4

A rectangular prism has surface area 94 cm². Its length is 5 cm and width is 4 cm. What is its height?

Accepted Answer

3 cm

Answer

4 cm

Answer

5 cm

Answer

2 cm

Question 5

A sector of a circle has radius 10 and central angle 72°. What is its arc length? (Leave in terms of π.)

Accepted Answer

4π

Answer

20π

Answer

2π

Answer

8π

Question 6

A glass has the shape of a cylinder with radius 4 cm and height 12 cm. It is 3/4 full of juice. What is the volume of juice? (Leave in terms of π.)

Accepted Answer

144π cm³

Answer

192π cm³

Answer

48π cm³

Answer

96π cm³

Question 7

A hollow cube has an outer edge of 8 cm and a wall thickness of 1 cm everywhere. What is the volume of the hollow interior?

Accepted Answer

216 cm³

Answer

512 cm³

Answer

343 cm³

Answer

64 cm³