Question

A wedge of cheese in the shape of a triangular prism has lengths of 10 cm, 13 cm, and 13 cm for its triangular sides. The perpendicular distance from the 10 cm side to the point of the wedge is 12 cm. The height of the wedge is 8 cm. What is the volume of the cheese wedge?

Answer 1

Answer:

480 cubic cm.        

Step-by-step explanation:  

We have been given that a wedge of cheese in he shape of a triangular prism has lengths of 10 cm, 13 cm, and 13 cm for its triangular sides. The perpendicular distance from the 10 cm side to the point of the wedge is 12 cm. The height of the wedge is 8 cm.  

$\text{Volume of triangular prism}=\text{Base area*Height of the wedge}$

We can see from our attachment that base of our triangular face is 10 cm and height of the triangular face is 12 cm and height of wedge is 8 cm.

Substituting these values in volume formula we will get,

$\text{Volume of cheese wedge}=\frac{1}{2}*\text{10 cm*12 cm*8 cm}$

$\text{Volume of cheese wedge}=\text{5 cm*12 cm*8 cm}$

$\text{Volume of cheese wedge}=480\text{cm}^3$

Therefore, the volume of cheese wedge will be 480 cubic cm.