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Calculate the volume of the cuboid give your answer correct to 3 significant figures

Calculate the volume of the cuboid give your answer correct to 3 significant figures-example-1
User Terminat
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1 Answer

4 votes

Answer:

430. cm³

Explanation:

You want the volume of a cuboid with edge dimensions 5 cm and 7 cm, and space diagonal 15 cm.

Third edge

The square of the length of the space diagonal is the sum of the squares of the lengths of the cuboid edges. If x represents the third edge, we have ...

(5 cm)² +(7 cm)² +x² = (15 cm)²

x² = (225 -25 -49) cm² = 151 cm²

x = √151 cm

Volume

The volume of the cuboid is the product of its edge lengths:

V = LWH

V = (5 cm)(7 cm)(√151 cm) ≈ 430.09 cm³

Rounded to 3 significant figures, the cuboid volume is 430. cm³.

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Additional comment

The decimal point in the number indicates the trailing zero is significant. Alternatively, we could write the volume as 4.30×10² cm³, showing 3 significant figures.

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User OKonyk
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