Question

Math

Posted 3 months ago

```
This oblique triangular prism has a volume of $63 \mathrm{~cm}^{3}$.
What is the area of the base of the prism?
$\square$
$\mathrm{cm}^{2}$
```

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Answer from Sia

Posted 3 months ago

Solution by Steps

step 1

Given the volume of the oblique triangular prism is $63 \, \mathrm{cm}^3$ and the height of the prism is $6.3 \, \mathrm{cm}$, we use the formula for the volume of a prism: $V = \text{Base Area} \times \text{Height}$

step 2

Substitute the given values into the volume formula: $63 = \text{Base Area} \times 6.3$

step 3

Solve for the Base Area by dividing both sides of the equation by $6.3$: $\text{Base Area} = \frac{63}{6.3}$

step 4

Calculate the Base Area: $\text{Base Area} = 10 \, \mathrm{cm}^2$

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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