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Question
Math
Posted 7 months ago

This oblique triangular prism has a volume of 63 cm363 \mathrm{~cm}^{3}.

What is the area of the base of the prism?
\square
cm2
\mathrm{cm}^{2}
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Answer from Sia
Posted 7 months ago
Solution by Steps
step 1
Given the volume of the oblique triangular prism is 63cm363 \, \mathrm{cm}^3 and the height of the prism is 6.3cm6.3 \, \mathrm{cm}, we use the formula for the volume of a prism: V=Base Area×HeightV = \text{Base Area} \times \text{Height}
step 2
Substitute the given values into the volume formula: 63=Base Area×6.363 = \text{Base Area} \times 6.3
step 3
Solve for the Base Area by dividing both sides of the equation by 6.36.3: Base Area=636.3\text{Base Area} = \frac{63}{6.3}
step 4
Calculate the Base Area: Base Area=10cm2\text{Base Area} = 10 \, \mathrm{cm}^2
Answer
10 cm²
Key Concept
Volume of a prism
Explanation
The volume of a prism is calculated by multiplying the area of the base by the height. Given the volume and height, the base area can be found by dividing the volume by the height.

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