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)
__ ft.3
9 answers
23,121 ft^3
The answer will be a mixed fraction in cubic feet.
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.
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
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.
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)
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.
write it like a 6th grader
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.