Question

Please help with the question below (please try to answer in a maximum of 10/15 minutes)also please answer all 3 boxes and if you can put a bold title in front of the answer.

Answer 1

Recall that the area of a prism is given by:

$\text{ base area }\times\text{ height}$

The base area of the triangular prism is given by:

$\frac{1}{2}\times6\times7=21cm^2$

Since the height of the triangular prism is 6 cm, it follows that:

$21\times6=126\text{ cm}^3$

Therefore, the Volume of the Triangular Prism is 126 cm³

The base area of the rectangular prism is given by:

$7\times8=56\text{ cm}^2$

Therefore, the volume of the rectangular prism is given by:

$56\times6=336$

Therefore, the Volume of the Rectangular Prism is 336 cm³

Therefore, the Volume of the Composite is given by:

$126+336=462$

Hence, the volume of the composite figure is 462 cm³