Black family is going to camp in a tent that is shaped like a square pyramid they want to know the volume of the temp for packing for the trip the size of the tent or 18 in and pot is 16 in Blake's family tent has the volume of inches squared

Answer 1

To find the volume of a tent in the shape of a square pyramid, we can use the formula for the volume of a pyramid:

\[ V = \frac{1}{3} \times B \times h \]

where:

• \( V \) is the volume,
• \( B \) is the area of the base,
• \( h \) is the height of the pyramid.

Given that the base of the tent is a square with a side length of 18 inches, we can calculate the area of the base \( B \):

\[ B = \text{side}^2 = 18 \times 18 = 324 \text{ square inches} \]

Next, you provided a height measurement of 16 inches. Now we can plug the values into the volume formula:

\[ V = \frac{1}{3} \times 324 \times 16 \]

Calculating this step-by-step:

1. Multiply the area of the base by the height: \[ 324 \times 16 = 5184 \]

2. Now divide by 3: \[ V = \frac{5184}{3} = 1728 \text{ cubic inches} \]

So, the volume of Blake's family tent is 1728 cubic inches.