Tommy and Cole are planning to build an aquanum 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?
I expect that the aquarium has no top glass surface.
and you forgot a front/back side.
HA I get ya on that one im stuck in math rn and im 9 lessons behind from the math test to avoid doing it and today i gotta catch up...
To calculate the amount of glass needed to enclose the aquarium, we need to determine the surface area of all the sides.
The aquarium has six sides: a top, a bottom, and four vertical sides.
To find the surface area of each side, we multiply the length and width of the corresponding side.
For the top and bottom, their dimensions are 17 inches long and 9 inches wide. So, the surface area for both of them is:
Top + Bottom = 17 inches * 9 inches + 17 inches * 9 inches
Next, we calculate the surface area of the vertical sides. The aquarium has four vertical sides, each with dimensions 17 inches long and 11 inches tall. So, the surface area for all four sides is:
Vertical Sides = 4 * (17 inches * 11 inches)
Finally, to find the total surface area of the aquarium, we add up the surface areas of all six sides:
Total Surface Area = Top + Bottom + Vertical Sides
Now, let's calculate the values.
Top + Bottom = 2 * (17 inches * 9 inches) = 306 square inches
Vertical Sides = 4 * (17 inches * 11 inches) = 748 square inches
Total Surface Area = 306 square inches + 748 square inches = 1054 square inches
Therefore, Tommy and Cole need to buy 1054 square inches of glass to enclose their aquarium.
To find the surface area of the aquarium that needs to be covered by glass, we need to calculate the sum of the areas of all the sides.
Area of the front and back sides (which have the same dimensions): 17 inches x 11 inches = 187 square inches
Area of the two side walls (which have the same dimensions): 9 inches x 11 inches (each) = 99 square inches (total)
Area of the top and bottom: 17 inches x 9 inches (each) = 153 square inches (total)
To find the total surface area, we add up all these areas:
187 + 99 + 99 + 153 + 153 = 691 square inches
Therefore, Tommy and Cole need to buy at least 691 square inches of glass to enclose the aquarium.