A container is 6m long, width 3m. Calculate its volume and surface area. Find the surface area of one side of…

Question

A container is 6m long, width 3m. Calculate its volume and surface area. Find the surface area of one side of the container.

ScanSolve AI Tutor · Accepted Answer

The problem describes a container with a length of $6 \text{ m}$ and a width of $3 \text{ m}$ . From the partial calculation shown ( $... \times 3 \times 4 \text{ m}^2$ ), it can be inferred that the height of the container is $4 \text{ m}$ . We need to calculate its volume and surface area.

Given:
Length ( $l$ ) = $6 \text{ m}$
Width ( $w$ ) = $3 \text{ m}$
Height ( $h$ ) = $4 \text{ m}$

Calculate the Volume.
The formula for the volume of a rectangular prism is $V = l \times w \times h$ .
$V = 6 \text{ m} \times 3 \text{ m} \times 4 \text{ m}$ $V = 18 \text{ m}^2 \times 4 \text{ m}$ $V = 72 \text{ m}^3$
Calculate the Surface Area.
The formula for the surface area of a rectangular prism is $A = 2(lw + lh + wh)$ .
$A = 2((6 \text{ m} \times 3 \text{ m}) + (6 \text{ m} \times 4 \text{ m}) + (3 \text{ m} \times 4 \text{ m}))$ $A = 2(18 \text{ m}^2 + 24 \text{ m}^2 + 12 \text{ m}^2)$ $A = 2(54 \text{ m}^2)$ $A = 108 \text{ m}^2$
The volume of the container is $\boxed{72 \text{ m}^3}$ .
The surface area of the container is $\boxed{108 \text{ m}^2}$ .

A container is 6m long, width 3m. Calculate its volume and surface area. Find the surface area of one side of the container.

Step-by-step solution

Calculate the Volume.

Calculate the Surface Area.

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