Calculate the volume of the prism shown. Dimensions are 20mm, 30mm, and 4cm.

Question

ScanSolve AI Tutor · Accepted Answer

The image shows a rectangular prism with the following dimensions:

Length = $4 \text{ cm}$
Width = $30 \text{ mm}$
Height = $20 \text{ mm}$

To calculate the volume, we first need to convert all dimensions to the same unit. Let's convert everything to millimeters (mm), since two dimensions are already in mm.
We know that $1 \text{ cm} = 10 \text{ mm}$ .

Convert all dimensions to millimeters.
- Length: $4 \text{ cm} = 4 \times 10 \text{ mm} = 40 \text{ mm}$
- Width: $30 \text{ mm}$
- Height: $20 \text{ mm}$
Calculate the volume of the rectangular prism.
The formula for the volume of a rectangular prism is $V = \text{length} \times \text{width} \times \text{height}$ .
$V = 40 \text{ mm} \times 30 \text{ mm} \times 20 \text{ mm}$ $V = 1200 \text{ mm}^2 \times 20 \text{ mm}$ $V = 24000 \text{ mm}^3$
The volume of the rectangular prism is $24000 \text{ mm}^3$ .

Calculate the volume of the prism shown. Dimensions are 20mm, 30mm, and 4cm.

Answer

Step-by-step solution

Convert all dimensions to millimeters.

Calculate the volume of the rectangular prism.

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