Bluebook SAT Test Area and Volume 9

Question 1

A rhombus has diagonals of length 10 cm and 16 cm. What is the area of the rhombus?

Accepted Answer

80 cm²

Answer

160 cm²

Answer

40 cm²

Answer

50 cm²

Question 2

A rectangular swimming pool measures 15 m × 8 m and is uniformly 2 m deep. How many cubic meters of water does it hold?

Accepted Answer

240 m³

Answer

120 m³

Answer

46 m³

Answer

480 m³

Question 3

A circle is inscribed in a square with side length 6. What is the area of the region inside the square but outside the circle? (Use π ≈ 3.14)

Accepted Answer

7.74

Answer

36

Answer

28.26

Answer

11.46

Question 4

A triangular prism has a right-triangle base with legs 5 cm and 12 cm. The prism's length is 9 cm. What is the volume?

Accepted Answer

270 cm³

Answer

540 cm³

Answer

135 cm³

Answer

60 cm³

Question 5

A square piece of land has area 225 m². A path 1 m wide runs along the inside perimeter. What is the area of the path?

Accepted Answer

56 m²

Answer

60 m²

Answer

44 m²

Answer

52 m²

Question 6

A solid hemisphere has radius 6 cm. What is its total surface area in terms of π?

Accepted Answer

108π cm²

Answer

72π cm²

Answer

144π cm²

Answer

36π cm²

Question 7

Two similar cones have radii in the ratio 2:3. The smaller cone has volume 16π cm³. What is the volume of the larger cone?

Accepted Answer

54π cm³

Answer

24π cm³

Answer

36π cm³

Answer

81π cm³