Tommy and Cole are planning to build an aquarium for their pet fish. If the dimensions of the aquarium are 17 inches long, 9 inches wide, and 11 inches tall, how much glass do they need to buy to enclose the aquarium?(1 point) surface area= square inches

Answer 1

To calculate the amount of glass needed to enclose the aquarium, we need to find the surface area of the rectangular prism (the aquarium). The surface area $S$ of a rectangular prism can be calculated using the formula:

$$S=2lw+2lh+2wh$$

where:

• $l$ is the length,
• $w$ is the width,
• $h$ is the height.

Given the dimensions:

• Length $l=17$ inches,
• Width $w=9$ inches,
• Height $h=11$ inches.

Let's substitute these values into the formula:

1. Calculate $2lw$: $$2lw=2\times 17\times 9=306$$

2. Calculate $2lh$: $$2lh=2\times 17\times 11=374$$

3. Calculate $2wh$: $$2wh=2\times 9\times 11=198$$

Now, sum these results to find the total surface area:

$$S=306+374+198=878\text{ square inches}$$

Thus, Tommy and Cole need to buy 878 square inches of glass to enclose the aquarium.