Explain how to find the combined volume of the two
rectangular prisms described. One has side lengths of 3x,
2x+1, and x + 3. The other has side lengths of 5x-2, x+9, and
8.
Choose the correct answer below.
A. Multiply the binomials for each rectangular prism.
Then multiply the resulting trinomials by the monomial
side. Multiply the resulting trinomials to find the
combined volume of the two prisms.
B. Add the lengths of the three sides together for each
rectangular prism. Then multiply the two binomials to
find the combined volume of the two prisms.
OC. Multiply the binomials for each rectangular prism.
Then multiply the resulting trinomials by the monomial
side. Combine like terms in the product to find the
combined volume of the two prisms.
OD. Add the lengths of the corresponding sides together.
Then multiply the three binomials to find the
combined volume of the two prisms.

Question

25-04-2024
Mathematics

contestada

Explain how to find the combined volume of the two
rectangular prisms described. One has side lengths of 3x,
2x+1, and x + 3. The other has side lengths of 5x-2, x+9, and
8.
Choose the correct answer below.
A. Multiply the binomials for each rectangular prism.
Then multiply the resulting trinomials by the monomial
side. Multiply the resulting trinomials to find the
combined volume of the two prisms.
B. Add the lengths of the three sides together for each
rectangular prism. Then multiply the two binomials to
find the combined volume of the two prisms.
OC. Multiply the binomials for each rectangular prism.
Then multiply the resulting trinomials by the monomial
side. Combine like terms in the product to find the
combined volume of the two prisms.
OD. Add the lengths of the corresponding sides together.
Then multiply the three binomials to find the
combined volume of the two prisms.

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To find the combined volume of the two rectangular prisms described, you would choose option: C. Multiply the binomials for each rectangular prism. Then multiply the resulting trinomials by the monomial side. Combine like terms in the product to find the combined volume of the two prisms. Here's a step-by-step explanation: 1. For the first rectangular prism with side lengths of 3x, 2x+1, and x+3: - Multiply the three binomials (3x) * (2x+1) * (x+3) to get the volume of the first prism. 2. For the second rectangular prism with side lengths of 5x-2, x+9, and 8: - Multiply the three binomials (5x-2) * (x+9) * 8 to get the volume of the second prism. 3. Once you have the volumes of both prisms calculated individually, add them together to find the combined volume. By following these steps, you will be able to accurately determine the combined volume of the two rectangular prisms.