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

What is the area of the base of the prism?
$\square$
$$
\mathrm{cm}^{2}
$$

Question

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

What is the area of the base of the prism?
$\square$
$$
\mathrm{cm}^{2}
$$

Accepted Answer

∻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: $V = ext{Base Area} imes ext{Height}$. ‖ ‖ step 2 ⋮ Substitute the given values into the volume formula: $63 = ext{Base Area} imes 6.3$. ‖ ‖ step 3 ⋮ Solve for the Base Area by dividing both sides of the equation by $6.3$: $ ext{Base Area} = \frac{63}{6.3}$. ‖ ‖ step 4 ⋮ Calculate the Base Area: $ ext{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.⚹◊What formula can be used to find the area of the base of an oblique triangular prism given its volume and specific measurements?⍭ Generate me a similar question◊

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