Respuesta :

The volume of the tent is 46.67 ft³

Explanation:

Given that the rectangular base is 35 square feet.

The height of the pyramid is 4 feet.

We need to determine the volume of the tent.

The volume of the tent can be determined using the formula,

[tex]Volume=\frac{1}{3} Bh[/tex]

where B = 25 and h = 4

Substituting these values in the above formula, we get,

[tex]Volume = \frac{1}{3} (35\times 4)[/tex]

Multiplying the numerator, we get,

[tex]Volume= \frac{140}{3}[/tex]

Dividing, we get,

[tex]Volume =46.6667 \ ft^3[/tex]

Rounding off the value to the nearest hundredth, we have,

Volume = 46.67 ft³

Therefore, the volume of the tent is 46.67 ft³