Chapter 12, Problem 13RP

To determine

To Calculate: The volume of the pyramid

Answer to Problem 13RP

The volume of the pyramid is $35$ unit ${}^3$

Explanation of Solution

Given information:

Height of pyramid = $5$

The measures of diagonals of the base are $6$ and $7$

Formula used:

Here, we are using the formula:

Volume of pyramid = $\frac{1}{3}\times B\times h$

(Where, “ B ” is area of base and “ h ” is height)

Calculation:

Here, area of base = $\frac{1}{2}\times 6\times 7$

  → $21$

Now, volume of pyramid = $\frac{1}{3}\times B\times h$

(Where, “ B ” is area of base and “ h ” is height)

  → $\frac{1}{3}\times 21\times 5$

  → $35$

Conclusion: Hence, the volume of the pyramid is $35$ unit ${}^3$