Question

Packaging for a new type of cheese is being constructed in the shape of a right triangular prism. the cheesemaker wants the volume of the packaging to be 54 mm3. if the height of the cheese is 2 mm less than twice the base and length is 3 mm longer than twice the base, what must the base of the packaging be? (note: the volume of a right triangular prism is v = 1/2bhl.)

Answer 1

The base of the packaging will be,x =3.35 mm. The volume right triangular prism is 54 mm³

What is the definition of a triangular prism?

Join the edges of three rectangles. Now, from both ends, seal their triangle mouths. A triangular prism is a name for the form.

The volume of the packaging(right triangular prism)  = 54 mm³

Height of the cheese(H)= 2 mm-2x

Length(L)=3+2x

The volume of a right triangular prism is v = 1/2bhl

$\rm V = \frac{1}{2} \times b \times h \times \\\\ 108 = 6+4x-6x-4x^2 \\\\ x=3.35$

Hence, the base of the packaging will be,x =3.35 mm.

To learn more about triangular prisms refer to:

brainly.com/question/16261758

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