To find the volume of the triangular prism box, we need to use the formula for the volume of a prism, which is:
Volume = base area x height
First, let's find the base area of the triangular face of the prism. The formula for the area of a triangle is:
Area = 1/2 x base x height
Plugging in the values given:
Area = 1/2 x 21 cm x 16 cm
Area = 1/2 x 336 cm²
Area = 168 cm²
Now, we can find the volume of the box:
Volume = base area x length
Volume = 168 cm² x 150 cm
Volume = 25,200 cm³
Therefore, the volume of the triangular prism box is 25,200 cm³.
A math teacher keeps her wall-sized graph paper in a box shaped like a triangular prism. The triangular face of the prism has a base of 21 cm and a height of 16 cm. The length of the entire box is 150 cm.
Which of the following is the volume of the box?
1 answer