Question

Peta says the volume of this rectangular prism is 16 cubic units. Do you agree with Peta? Explain why or why not.

Answer 1

We cannot confirm or deny Peta's claim about the volume of the rectangular prism being 16 cubic units without the specific dimensions. To assess the claim, one must use the formula for the volume of a rectangular prism and perform accurate calculations.

Step-by-step explanation:

To determine if we agree with Peta about the volume of the rectangular prism being 16 cubic units, we need to calculate the volume using the formula for the volume of a rectangular prism, which is length × width × height. Without the exact measurements for the prism in question, we cannot verify Peta's claim. If Peta has correctly multiplied the measurements of all three dimensions of the prism and the result is 16, then we would agree. However, if the calculation is incorrect or if the measurements do not multiply to 16, then we would disagree.

If we had the specific dimensions of the prism, we could provide a more precise answer. For instance, if the rectangular prism's dimensions were 2 units by 4 units by 2 units, then the volume would indeed be 16 cubic units (2 × 4 × 2 = 16). Without that information, we can only address the need to use the correct formula and perform accurate arithmetic to validate Peta's claim.

Answer 2

The Solution:

Given:

We are required to explain why we agree or disagree with Peta's claim that the volume of the given shape is 16 cubic units.

Step 1:

Find the volume of the shape.

`\begin{gathered} V=L* W* H \\ In\text{ this case,} \\ V=volume=? \\ L=length=3\text{ units} \\ W=width=2\text{ units} \\ H=height=5\text{ units} \end{gathered}`

Substituting these values in the formula, we get

`V=3*2*5=30\text{ cubic units}`

Thus, I do not agree with Peta that the volume of the shape is 16 cubic units because the true volume of the shape is 30 cubic units.