Bluebook SAT Test Area and Volume 6

Question 1

A cylindrical can has diameter 10 cm and height 15 cm. What is the volume? (Leave in terms of π)

Accepted Answer

375π cm³

Answer

150π cm³

Answer

750π cm³

Answer

1500π cm³

Question 2

A trapezoid has area 90 cm², height 9 cm, and one parallel side 8 cm. What is the other parallel side?

Accepted Answer

12 cm

Answer

6 cm

Answer

10 cm

Answer

20 cm

Question 3

A composite figure is a 10 m × 10 m square with a triangle of base 10 m and height 6 m on top. What is the total area?

Accepted Answer

130 m²

Answer

100 m²

Answer

160 m²

Answer

200 m²

Question 4

A hemisphere (half-sphere) has radius 6 cm. What is its volume in terms of π?

Accepted Answer

144π cm³

Answer

72π cm³

Answer

216π cm³

Answer

432π cm³

Question 5

If the radius of a circle is increased by 50%, by what percent does the area increase?

Accepted Answer

125%

Answer

50%

Answer

75%

Answer

100%

Question 6

A rectangular sandbox is 2 m × 3 m, filled with sand to a depth of 0.5 m. What is the volume of sand?

Accepted Answer

3 m³

Answer

1 m³

Answer

6 m³

Answer

12 m³

Question 7

A triangle has base 18 cm and area 108 cm². What is the height?

Accepted Answer

12 cm

Answer

6 cm

Answer

9 cm

Answer

18 cm