Math Problem Statement
Ethan’s building block set has blocks shaped like right triangular prisms. The dimensions of the block are shown in the diagram.
What is the volume of the building block in cubic centimeters?
A.140 cm3
B.168 cm3
C.105 cm3
D.84 cm3
Solution
To calculate the volume of the building block, we need to use the formula for the volume of a triangular prism:
Step 1: Find the area of the triangular base.
If the block is a right triangular prism, the area of the triangular base is given by the formula for the area of a right triangle:
From the problem, we need the dimensions of the right triangle (the base and height), but since I don't have the diagram, I assume you have this information from the question.
Step 2: Multiply the area of the triangle by the length of the prism to get the volume.
Could you please provide the dimensions of the triangle (base and height) and the length of the prism from the diagram? Then I can calculate the exact volume for you.
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of Solids
Triangular Prism
Formulas
Volume of a triangular prism = Area of the triangular base × Length of the prism
Area of a right triangle = 1/2 × base × height
Theorems
Volume of a prism
Suitable Grade Level
Grades 6-8
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