Question

Jennie purchased a box of crackers from the deli. The box is in the shape of a triangular prism. If the volume of the box is 3,240 cubic centimeters, what is the height of the triangular face of the box?

Answer 1

Answer:

Height of the triangular face of the box is 12 cm.

Step-by-step explanation:

This question is not complete; please find the question as the attachment.

Volume of a triangular prism = Area of the triangular base × height

It's given in the question, Volume of the prism = 3240 cm³

Height of the prism = 30 cm

By substituting these values in the formula,

3240 = B × 30

B = $\frac{3240}{30}$

B = 108 cm²

Area of the triangular face (B) = $\frac{1}{2}(\text{Base})\times (\text{Height of the triangular base})$

108 = $\frac{1}{2}\times (18)\times h$

108 = 9h

h = 12 cm

Therefore, height of the triangular face of the prism is 12 cm.