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In cubic feet, what is the volume of a toy box measuring 3 3/4 feet long, 2 1/2 feet wide, and 2 1/2 feet tall? use the volume...Asked by ♥Escapism♥
In cubic feet, what is the volume of a toy box measuring 334 feet long, 212 feet wide, and 212 feet tall? Use the volume formula to solve. The answer will be a mixed fraction in cubic feet.(1 point)
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Answers
Answered by
♥Escapism♥
The answer will be a mixed fraction in cubic feet.
Answered by
♥Escapism♥
Using the formula V=B×h, what is the volume of a rectangular prism with a length of 714 m, a width of 1012 m, and a height of 1225 m? Your answer should be a mixed number in simplest form.(1 point)
m3
m3
Answered by
♥Escapism♥
A preschool is shopping for sand for its sandbox. Box A is 9 inches wide by 13 inches long by 15 inches high. Box B is 6 inches wide by 12 inches long by 20 inches high. Which box has more sand? Apply the formula V=B⋅h to solve. Show your work.(2 points)
Answered by
♥Escapism♥
write it like a 6th grader
Answered by
GPT 3.5
23,121 ft^3
Answered by
GPT 3.5
The volume formula for a rectangular prism is length x width x height. So, for the given dimensions:
Volume = 334 ft x 212 ft x 212 ft
Volume = 15,033,184 ft^3
However, we need to express this in a mixed fraction.
15,033,184 ÷ 1,728 = 8,705 + 944/1,728 ft^3
Therefore, the volume of the toy box is 8,705 944/1,728 ft^3.
Volume = 334 ft x 212 ft x 212 ft
Volume = 15,033,184 ft^3
However, we need to express this in a mixed fraction.
15,033,184 ÷ 1,728 = 8,705 + 944/1,728 ft^3
Therefore, the volume of the toy box is 8,705 944/1,728 ft^3.
Answered by
GPT 3.5
First, we need to calculate the base area (B) of the rectangular prism:
Base Area (B) = length x width
Base Area (B) = 714 m x 1012 m
Base Area (B) = 722568 m^2
Now, we can calculate the volume using the formula V = B x h:
Volume = Base Area x height
Volume = 722568 m^2 x 1225 m
Volume = 885022200 m^3
Next, we simplify the mixed number:
885022200 ÷ 1,000,000 = 885.022
Therefore, the volume of the rectangular prism is 885.022 m^3.
Base Area (B) = length x width
Base Area (B) = 714 m x 1012 m
Base Area (B) = 722568 m^2
Now, we can calculate the volume using the formula V = B x h:
Volume = Base Area x height
Volume = 722568 m^2 x 1225 m
Volume = 885022200 m^3
Next, we simplify the mixed number:
885022200 ÷ 1,000,000 = 885.022
Therefore, the volume of the rectangular prism is 885.022 m^3.
Answered by
GPT 3.5
To determine which box has more sand, we need to calculate the volume of each box using the formula V = B x h, where V represents volume, B represents the base area, and h represents the height.
For Box A:
Width = 9 inches
Length = 13 inches
Height = 15 inches
Base Area (B) = Width x Length
Base Area (B) = 9 inches x 13 inches
Base Area (B) = 117 square inches
Volume of Box A = Base Area x Height
Volume of Box A = 117 square inches x 15 inches
Volume of Box A = 1755 cubic inches
For Box B:
Width = 6 inches
Length = 12 inches
Height = 20 inches
Base Area (B) = Width x Length
Base Area (B) = 6 inches x 12 inches
Base Area (B) = 72 square inches
Volume of Box B = Base Area x Height
Volume of Box B = 72 square inches x 20 inches
Volume of Box B = 1440 cubic inches
Comparing the volumes, we see that Box A has a volume of 1755 cubic inches, while Box B has a volume of 1440 cubic inches.
Therefore, Box A has more sand than Box B.
For Box A:
Width = 9 inches
Length = 13 inches
Height = 15 inches
Base Area (B) = Width x Length
Base Area (B) = 9 inches x 13 inches
Base Area (B) = 117 square inches
Volume of Box A = Base Area x Height
Volume of Box A = 117 square inches x 15 inches
Volume of Box A = 1755 cubic inches
For Box B:
Width = 6 inches
Length = 12 inches
Height = 20 inches
Base Area (B) = Width x Length
Base Area (B) = 6 inches x 12 inches
Base Area (B) = 72 square inches
Volume of Box B = Base Area x Height
Volume of Box B = 72 square inches x 20 inches
Volume of Box B = 1440 cubic inches
Comparing the volumes, we see that Box A has a volume of 1755 cubic inches, while Box B has a volume of 1440 cubic inches.
Therefore, Box A has more sand than Box B.
Answered by
GPT 3.5
To find out which box has more sand, we have to figure out how much space each box has inside. We can do this by using the formula V = B x h.
For Box A:
Width = 9 inches
Length = 13 inches
Height = 15 inches
First, we find the Base Area (B) by multiplying Width x Length:
Base Area (B) = 9 inches x 13 inches = 117 square inches
Then, we multiply the Base Area by the Height to get the Volume of Box A:
Volume of Box A = 117 square inches x 15 inches = 1755 cubic inches
For Box B:
Width = 6 inches
Length = 12 inches
Height = 20 inches
First, we find the Base Area (B) by multiplying Width x Length:
Base Area (B) = 6 inches x 12 inches = 72 square inches
Then, we multiply the Base Area by the Height to get the Volume of Box B:
Volume of Box B = 72 square inches x 20 inches = 1440 cubic inches
Comparing the volumes, we see that Box A can hold more sand because it has a volume of 1755 cubic inches, which is greater than the volume of Box B, which is 1440 cubic inches. So, Box A has more sand than Box B.
For Box A:
Width = 9 inches
Length = 13 inches
Height = 15 inches
First, we find the Base Area (B) by multiplying Width x Length:
Base Area (B) = 9 inches x 13 inches = 117 square inches
Then, we multiply the Base Area by the Height to get the Volume of Box A:
Volume of Box A = 117 square inches x 15 inches = 1755 cubic inches
For Box B:
Width = 6 inches
Length = 12 inches
Height = 20 inches
First, we find the Base Area (B) by multiplying Width x Length:
Base Area (B) = 6 inches x 12 inches = 72 square inches
Then, we multiply the Base Area by the Height to get the Volume of Box B:
Volume of Box B = 72 square inches x 20 inches = 1440 cubic inches
Comparing the volumes, we see that Box A can hold more sand because it has a volume of 1755 cubic inches, which is greater than the volume of Box B, which is 1440 cubic inches. So, Box A has more sand than Box B.
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