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.

Answer 1

To find the volume of a rectangular prism, we can use the formula V = B × h, where B is the area of the base and h is the height.

Given:
Length = 7 1/4 m
Width = 10 1/2 m
Height = 12 2/5 m

First, let's find the area of the base:
Area of the base = Length × Width
Area of the base = (7 1/4) m × (10 1/2) m
Area of the base = (29/4) m × (21/2) m
Area of the base = 609/8 m²
Area of the base = 76 1/8 m²

Now, let's find the volume:
Volume = Area of the base × Height
Volume = (76 1/8) m² × (62/5) m
Volume = 4748/5 m³
Volume = 949 3/5 m³

Therefore, the volume of the rectangular prism is 949 3/5 cubic meters.

Answer 2

the answer has to be able to replace the ? in
? m^3

Answer 3

Apologies for the oversight in the previous response. Let's correct that:

To find the volume of the rectangular prism with the given dimensions:
Length = 7 1/4 m
Width = 10 1/2 m
Height = 12 2/5 m

First, calculate the area of the base (B):
B = Length x Width
B = (7 1/4) m x (10 1/2) m
B = (29/4) m x (21/2) m
B = 609/8 m^2
B = 76 1/8 m^2

Now, use the formula V = B x h to find the volume:
V = 76 1/8 m^2 x 12 2/5 m
V = (609/8) m^2 x (62/5) m
V = 37758/40 m^3
V = 944 19/40 m^3

Therefore, the volume of the rectangular prism is 944 19/40 m^3.