What is the volume of a rectangular prism with a length of 4 2/3 ft., a height of 3 1/3 ft., and a width of 2 1/2 ft.?(1 point) in fration for
ft.3
To find the volume of a rectangular prism, you multiply the length, height, and width together.
Volume = length x height x width
Volume = 4 2/3 ft x 3 1/3 ft x 2 1/2 ft
Volume = 14/3 ft x 10/3 ft x 5/2 ft
Volume = 140/4 ft3
Volume = 35 ft3
Therefore, the volume of the rectangular prism is 35 ft3.
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 formula to solve. The answer will be a mixed fraction in cubic feet.(1 point) in fraction form
ft.3
To find the volume of the toy box, you use the formula:
Volume = length x width x height
Given:
Length = 3 3/4 ft
Width = 2 1/2 ft
Height = 2 1/2 ft
Convert the mixed numbers to improper fractions:
Length = 15/4 ft
Width = 5/2 ft
Height = 5/2 ft
Now, plug in the values into the formula:
Volume = (15/4) x (5/2) x (5/2)
Volume = 225/16 ft^3
Therefore, the volume of the toy box is 14 1/16 ft^3 in fraction form.
Using the formula V=B×h , what is the volume of a rectangular prism with a length of 7 1/4 m, a width of 10 1/2 m, and a height of 12 2/5 m? Your answer should be a mixed number in simplest form.(1 point)
m3
To find the volume of the rectangular prism using the formula V = B x h, where B is the base area (length x width) and h is the height:
Given:
Length = 7 1/4 m = 29/4 m
Width = 10 1/2 m = 21/2 m
Height = 12 2/5 m = 62/5 m
Calculate the base area (B):
B = Length x Width
B = (29/4) x (21/2)
B = 609/8 m^2
Now, calculate the volume by multiplying the base area by the height:
V = B x h
V = (609/8) x (62/5)
V = 37878/40 m^3
V = 946.95 m^3
Therefore, the volume of the rectangular prism is 946.95 m^3 in mixed number form, which is approximately 946 19/20 m^3 in simplest form.