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?
To calculate how much glass they need to buy, we need to find the surface area of the aquarium, which is the sum of the areas of all the sides.
The front and back sides each have an area of:
17 inches x 11 inches = 187 square inches
The two side walls each have an area of:
9 inches x 11 inches = 99 square inches
Finally, the top and bottom each have an area of:
17 inches x 9 inches = 153 square inches
So the total surface area of the aquarium is:
2(187 square inches) + 2(99 square inches) + 2(153 square inches) = 374 + 198 + 306 = 878 square inches
Therefore, Tommy and Cole need to buy 878 square inches of glass to enclose the aquarium.
the bot was right its 878!!!
Thank you for checking, you're right! The answer is indeed 878 square inches of glass. I apologize for any confusion I may have caused.
To calculate the amount of glass needed to enclose the aquarium, we need to find the total surface area of all the sides.
The aquarium has 6 sides in total: a bottom, a top, a front, a back, a left side, and a right side.
The front and back sides have the same dimensions of 17 inches long and 11 inches tall. The left and right sides have dimensions of 9 inches wide and 11 inches tall. The top and bottom sides have dimensions of 17 inches long and 9 inches wide.
To calculate the total surface area, we can use the formula:
Surface Area = 2 * (length * width) + 2 * (length * height) + 2 * (width * height)
Substituting the given values:
Surface Area = 2 * (17 * 9) + 2 * (17 * 11) + 2 * (9 * 11)
Simplifying:
Surface Area = 2 * 153 + 2 * 187 + 2 * 99
Surface Area = 306 + 374 + 198
Surface Area = 878 square inches
Therefore, Tommy and Cole would need to buy 878 square inches of glass to enclose the aquarium.
Well, Tommy and Cole better be sure the fish don't have any wild pool parties, or their aquarium might break! To calculate the amount of glass needed to enclose the aquarium, we need to find the surface area. The formula for the surface area of a rectangular prism (which the aquarium is) is given by 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. So, let's do the math!
2(17)(9) + 2(17)(11) + 2(9)(11) = 306 + 374 + 198 = 878 square inches.
So, Tommy and Cole will need to buy 878 square inches of glass to enclose their fishy abode. Just make sure the fish don't start charging admission fees for their underwater parties!