Question

Find the volume of the triangular prism-shaped package that contains the sandwich.

Answer 1

Answer:  198

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Explanation:

First we need the area of the triangular face.

area = base*height/2

area = 9*11/2

area = 99/2

area = 49.5 square cm

Multiply this triangular area with the depth of the prism.

volume = (area of base face)*(depth of prism)

volume = (49.5 sq cm)*4 cm)

volume = 198 cubic cm

The volume units "cubic cm" can be written as $\text{cm}^3$

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Another way to think about it:

Consider a box that is 11 cm by 9 cm by 4 cm

The volume would be  11*9*4 = 396 cubic cm

That's for a rectangular prism, but we want a triangular prism. The volume will be half that at 396/2 = 198 cubic cm

If we had two identical triangular sandwiches, putting them together forms a full rectangular prism.

Answer 2

Answer:

$\mathrm {198 cm^{3}}$

Step-by-step explanation:

$\textrm {Volume of the sandwich :}$

$\mathrm {\frac{1}{2} \times length \times width \times height}$

$\mathrm {\frac{1}{2} \times 9 \times 4 \times 11}$

$\mathrm {2 \times 99}$

$\mathrm {198 cm^{3}}$