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Given a rectangular prism with a height of 2 cm, a length of 7 cm, and a volume of 70 cm, find the width of the base.

a) 5 cm
b) 10 cm
c) 15 cm
d) 35 cm

User Hungrxyz
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1 Answer

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Final answer:

The width of the base of the rectangular prism is calculated by dividing the given volume (70 cm³) by the product of the given length (7 cm) and height (2 cm), resulting in a width of 5 cm.

Step-by-step explanation:

To find the width of the base of a rectangular prism when the volume, height, and length are known, we use the formula for the volume of a rectangular prism, which is V = l × w × h, where V is the volume, l is the length, w is the width, and h is the height. In this case, the volume (V) is given as 70 cm³, the length (l) is 7 cm, and the height (h) is 2 cm.

We can rearrange the formula to solve for the width (w) as follows: w = V / (l × h). We then substitute the given values into the formula: w = 70 cm³ / (7 cm × 2 cm), which simplifies to w = 70 cm³ / 14 cm², and finally, w = 5 cm.

Thus, the width of the base is 5 cm, which corresponds to option (a).

User Fabii
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