Cylinder and Rectangular Prism Surface Area Quiz

What is the perimeter of the base?

Tags

CCSS.3.MD.D.8

What is the height of the base?

• 0.8

• 0.5

• 1

• 2.5

Answer explanation

To find the lateral surface area of a triangular prism, calculate the perimeter of the triangular base and multiply by the height. The correct calculation yields 580 yd², making it the right choice.

Tags

CCSS.2.MD.A.3

What is the height of the prism?

• 0.5

• 1

• 2.5

• 0.3

Tags

CCSS.7.G.B.6

What is the area of the base?

• 0.3

• 0.9

• 0.4

• 0.2

Tags

CCSS.6.G.A.1

What is the total surface area of the prism?

Tags

CCSS.7.G.B.6

What is the formula for the lateral surface area of a cylinder?

• 2πrh

• πr²h

• 2πr²

• πrh

Answer explanation

The lateral surface area of a cylinder is calculated using the formula 2πrh, where r is the radius and h is the height. This formula accounts for the curved surface area, making 2πrh the correct choice.

Find the radius, height, and lateral surface area of a cylinder with a radius of 13 m and a height of 24 m.

• Radius = 13 m, Height = 24 m, Lateral Surface Area = 980.17 m²

• Radius = 12 m, Height = 25 m, Lateral Surface Area = 900.00 m²

• Radius = 14 m, Height = 23 m, Lateral Surface Area = 950.00 m²

• Radius = 15 m, Height = 22 m, Lateral Surface Area = 1000.00 m²

Answer explanation

The cylinder has a radius of 13 m and a height of 24 m. The lateral surface area is calculated using the formula 2πrh, which gives approximately 980.17 m². Thus, the correct choice is Radius = 13 m, Height = 24 m, Lateral Surface Area = 980.17 m².

Find the lateral surface area of a cylinder with a diameter of 12 yd and a height of 17 yd.

• Lateral Surface Area = 1281.77 yd²

• Lateral Surface Area = 640.88 yd²

• Lateral Surface Area = 569.88 yd²

• Lateral Surface Area = 1034.99 yd²

Answer explanation

To find the lateral surface area of a cylinder, use the formula: Lateral Surface Area = 2πrh. Here, r = 6 yd (diameter/2) and h = 17 yd. Thus, Lateral Surface Area = 2π(6)(17) ≈ 640.88 yd², which is the correct choice.

What is the area of the base of the triangular prism in question 9?

• 45.5 cm²

• 97.5 cm²

• 65 cm²

• 105 cm²

Answer explanation

The area of the base of the triangular prism is calculated using the formula for the area of a triangle. Given the dimensions, the correct area is 97.5 cm², making it the right choice among the options provided.

What is the height of the triangular prism in question 9?

• 7 cm

• 13 cm

• 19 cm

• 15 cm

Answer explanation

The height of the triangular prism is given as 7 cm, which is the correct choice. The other options do not match the specified height in question 9.

Tags

CCSS.7.G.B.6