Question

2 A crayon is shaped like a triangular prism. The base of the crayon is shown. If the crayon is 90 millimeters long, how many cubic centimeters of wax are used to make a box of 8 crayons?

Answer 1

To find the volume of a crayon shaped like a triangular prism, you can use the formula V = (1/2)bh. Multiply the area of the triangular base by the length of the prism to get the volume. Then, multiply the volume of one crayon by the number of crayons in the box to get the total volume of wax used.

Step-by-step explanation:

To find the volume of the crayon, we need to calculate the volume of the triangular prism. The volume of a triangular prism is given by the formula V = (1/2)bhl, where b is the base of the triangle, h is the height of the triangle, and l is the length of the prism. Since the base of the crayon is shown as a triangle, we can use the formula for the area of a triangle to find the area of the base and then multiply it by the length of the prism to get the volume.

1. Find the area of the triangular base by using the formula for the area of a triangle: A = (1/2)bh, where b is the base length and h is the height.
2. Multiply the area of the base by the length of the prism to get the volume: V = A x l.
3. Since the crayon is 90 millimeters long, multiply the volume of one crayon by the number of crayons in the box (8) to get the total volume of wax used to make the box of crayons.

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