Question

you want to buy a tent in the shape of a pyramid. the rectangular base is 35 square feet, with a height of 4 feet. what is the volume of the tent? round your answer to the nearest hundredth.
volume = 1 cubic feet
23.33 cubic feet
46.67 cubic feet
93.33 cubic feet
140 cubic feet

Explanation:

Step1: Recall the volume formula for a pyramid

The volume formula for a pyramid is \( V=\frac{1}{3}Bh \), where \( B \) is the area of the base and \( h \) is the height.

Step2: Substitute the given values into the formula

Given \( B = 35\) square feet and \( h=4\) feet. Substitute into \( V=\frac{1}{3}Bh\), we get \( V=\frac{1}{3}\times35\times4\).

Step3: Calculate the value

First, calculate \(35\times4 = 140\), then \(V=\frac{140}{3}\approx46.67\) (rounded to the nearest hundredth).

Answer:

46.67 cubic feet