Surface Area of Prisms with Nets

What is the formula to calculate the surface area of a rectangular prism?

Answer explanation

The correct formula for calculating the surface area of a rectangular prism is 2lw + 2lh + 2wh, which accounts for the area of all six faces of the prism.

Tags

CCSS.7.G.B.6

What is the surface area of a rectangular prism with length 8 cm, width 5 cm, and height 10 cm?

Answer explanation

To find the surface area of a rectangular prism, use the formula 2lw + 2lh + 2wh. Plugging in the values, we get 2(8*5) + 2(8*10) + 2(5*10) = 260 cm^2.

Tags

CCSS.7.G.B.6

Which of the following statements is true about the nets of rectangular prisms?

• All nets of rectangular prisms consist of exactly six squares.

• All nets of rectangular prisms consist of exactly six rectangles.

• Nets of rectangular prisms consist of four rectangles and two squares.

• Nets of rectangular prisms can consist of a combination of rectangles and squares, but must total six faces.

Answer explanation

Nets of rectangular prisms can consist of a combination of rectangles and squares, but must total six faces.

Tags

CCSS.6.G.A.4

A student claims that the surface area of a rectangular prism can be found by adding the area of all the faces without multiplying any dimensions. Is this statement correct?

• Yes

• No

Answer explanation

No, the statement is incorrect. The surface area of a rectangular prism is found by multiplying the dimensions of the faces, not just adding the areas.

Tags

CCSS.7.G.B.6

Find the surface area of the rectangular prism.

• 29 cm2

• 912 cm2

• 348 cm2

• 438 cm2

Tags

CCSS.7.G.B.6

Find the surface area of the triangular prism.

• 228 in²

• 204 in²

• 304 in²

• 328 in

Tags

CCSS.7.G.B.6

Jesse needs to wrap the present shown below. How much wrapping paper would he need?
How much wrapping paper is needed?

• 300 in²

• 558 in²

• 327 in²

• 354 in²

What is the area of the lateral faces?

• 56 cm²

• 80 cm²

• 136 cm²

• 96 cm²

Tags

CCSS.7.G.B.6

The base of the triangle is 5 inches. The length of the rectangle is 15 inches. The height of the triangle is 10 inches. Find the surface area.

• 300 inches

• 200 inches

• 275 inches

The net of a rectangular prism is shown below. Which of the following is closest to the surface area of the prism?

• 518 square centimeters

• 420 square centimeters

• 470 square centimeters

• 205 square centimeters

Tags

CCSS.6.G.A.4