Question

Find the area of each face of the triangular prism and the total surface area.

Drag each tile to its matching measurement. Each number may be used once or not at all.

Answer 1

9514 1404 393

Answer:

• 24
• 160
• 120
• 200
• 528

Explanation:

The area of each triangular face is given by the formula ...

A = 1/2bh

The triangular faces have a base of b=8 cm, and a height of h=6 cm. Their area is ...

A = 1/2(8 cm)(6 cm) = 24 cm²

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Each of the rectangular faces has a length of 20 cm. The width depends on which face is of interest. In each case, the area is given by ...

A = LW

Bottom face: A = (20 cm)(8 cm) = 160 cm²

Back face: A = (20 cm)(6 cm) = 120 cm²

Sloped face: A = (20 cm)(10 cm) = 200 cm²

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The total area is the sum of the areas of all of the faces and bases. There are two triangular bases, so the total area is ...

(2×24 + 160 +120 +200) cm² = 528 cm²