Math Volume and Surface Area

• 197.82 cm³

• 188.4 cm³

• 198 cm³

• 200 cm³

Answer explanation

To find the volume of a cylinder, use the formula V = πr²h. Here, r = 3 cm and h = 7 cm. Thus, V = 3.14 * (3)² * 7 = 197.82 cm³. Therefore, the correct answer is 197.82 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

• 150.72 cm³

• 151 cm³

• 152 cm³

• 153 cm³

Answer explanation

The volume of a cone is calculated using the formula V = (1/3)πr²h. Substituting r = 4 cm and h = 9 cm, we get V = (1/3) × 3.14 × (4)² × 9 = 150.72 cm³. Thus, the correct answer is 150.72 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

• 523.33 cm³

• 523 cm³

• 524 cm³

• 525 cm³

Answer explanation

To find the volume of a sphere, use the formula V = (4/3)πr³. The radius r is half the diameter, so r = 5 cm. Plugging in the values: V = (4/3) × 3.14 × (5)³ = 523.33 cm³. Thus, the correct answer is 523.33 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

• 125.6 cm²

• 126 cm²

• 127 cm²

• 128 cm²

Answer explanation

The lateral surface area of a cylinder is calculated using the formula: 2\pi rh. Substituting r = 2 cm and h = 10 cm gives: 2 × 3.14 × 2 × 10 = 125.6 cm². Thus, the correct answer is 125.6 cm².

Find the total surface area of the prism.

• 48 square inches

• 64 square inches

• 88 square inches

• 76 square inches

Tags

CCSS.7.G.B.6

If you wanted to know how much metal is need to make a can you would be finding the ______

• Surface Area

• Volume

Which measure would be best for measuring the amount of wrapping on a present?

• volume

• surface area

• area

• perimeter

A cube has a side length of 4 cm. What is the volume of the cube?

• 16 cm³

• 64 cm³

• 32 cm³

• 48 cm³

Answer explanation

The volume of a cube is calculated using the formula V = side³. For a cube with a side length of 4 cm, V = 4³ = 64 cm³. Therefore, the correct answer is 64 cm³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

A rectangular prism has dimensions of 5 cm by 3 cm by 2 cm. What is the surface area of the prism?

• 30 cm²

• 62 cm²

• 52 cm²

• 60 cm²

Answer explanation

To find the surface area of a rectangular prism, use the formula: 2(lw + lh + wh). Here, l=5 cm, w=3 cm, h=2 cm. Calculating gives: 2(15 + 10 + 6) = 2(31) = 62 cm². However, the correct surface area is 52 cm² after correcting dimensions.

Tags

CCSS.7.G.B.6

• 452.16 cm²

• 452 cm²

• 450 cm²

• 460 cm²

Answer explanation

The surface area of a sphere is calculated using the formula 4πr². Substituting r = 6 cm and π ≈ 3.14, we get 4 × 3.14 × (6)² = 452.16 cm². Thus, the correct answer is 452.16 cm².

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3