Question

The height and base dimensions of a pyramid are shown in the diagram.

Answer 1

Volume of the pyramid = 40 cubic units

Solution:

Let us find the volume of the pyramid.

Area of the base = $\frac{1}{2}\ bh$

                            $=\frac{1}{2}\times4\times5$

                            = 10 square units

Area of the base (B) = 20 square units

Height of the pyramid = 12

Volume of the pyramid = $\frac{1}{3}\times \text{Base}\times \text{Height}$

                                       $=\frac{1}{3}\times 10\times12$

                                       $= 40$ cubic units

Volume of the pyramid = 40 cubic units