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Which calculation shows the volume of a triangular prism made from this net?

A) (3 cm x 4 cm ÷ 2) x 3 cm
B) 3 cm x 4 cm x 5 cm
C) (3 cm x 4 cm ÷ 2) x 5 cm
D) 3 cm x 3 cm x 4 cm

Which calculation shows the volume of a triangular prism made from this net? A) (3 cm-example-1
User Race B
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1 Answer

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Answer:

A) (3 cm x 4 cm ÷ 2) x 3 cm

Explanation:

The volume is the product of the area of the triangular bases and the distance between them.

Each right triangular base has a width of 3 cm and a height of 4 cm. Its area will be given by ...

A = (1/2)bh

A = (1/2)(3 cm)(4 cm) = (3 cm × 4 cm) ÷ 2

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The distance between the triangular bases is marked at the left side of the diagram as 3 cm. So, the volume is ...

V = Bh

V = (3 cm × 4 cm ÷ 2) × 3 cm . . . . . matches choice A

User Marshal Chen
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