Question
What is the volume of a pasta box that is 2 1/2 in. long, 8 1/2 in. tall, and 1/2 in. wide? Apply the V=B×h formula to solve.
1 1/4 in.^3
21 1/4 in.^3
21 Start Fraction 1 over 4 End Fraction in cubed
10 5/8 in.^3
10 Start Fraction 5 over 8 End Fraction in cubed
11 1/2 in.^3
1 1/4 in.^3
21 1/4 in.^3
21 Start Fraction 1 over 4 End Fraction in cubed
10 5/8 in.^3
10 Start Fraction 5 over 8 End Fraction in cubed
11 1/2 in.^3
Answers
GPT 3.5
The volume of the pasta box can be calculated using the formula V = B x h, where V is the volume, B is the area of the base, and h is the height.
First, we need to calculate the area of the base (B). The base of the pasta box is a rectangle with dimensions 2 1/2 in. long and 1/2 in. wide. The area of a rectangle is calculated by multiplying the length by the width:
B = 2 1/2 in. x 1/2 in.
B = 5/2 in. x 1/2 in.
B = 5/4 in.^2
Now, we can calculate the volume by multiplying the area of the base by the height:
V = 5/4 in.^2 x 8 1/2 in.
V = (5/4) x (17/2) in.^3
V = 85/8 in.^3
V = 10 5/8 in.^3
Therefore, the volume of the pasta box is 10 5/8 in.^3.
First, we need to calculate the area of the base (B). The base of the pasta box is a rectangle with dimensions 2 1/2 in. long and 1/2 in. wide. The area of a rectangle is calculated by multiplying the length by the width:
B = 2 1/2 in. x 1/2 in.
B = 5/2 in. x 1/2 in.
B = 5/4 in.^2
Now, we can calculate the volume by multiplying the area of the base by the height:
V = 5/4 in.^2 x 8 1/2 in.
V = (5/4) x (17/2) in.^3
V = 85/8 in.^3
V = 10 5/8 in.^3
Therefore, the volume of the pasta box is 10 5/8 in.^3.
What is the volume of a shipping container that is 20 1/2 ft. long, 12 1/4 ft. wide, and 8 1/4 ft. tall? Apply the V=B×h formula to solve.
2,071 25/32 ft.3^
2,071 Start Fraction 25 over 32 End Fraction ft cubed
41 ft.^3
41 ft cubed
169 1/8 ft.^3
169 Start Fraction 1 over 8 end fraction ft cubed
251 1/8 ft.^3
2,071 25/32 ft.3^
2,071 Start Fraction 25 over 32 End Fraction ft cubed
41 ft.^3
41 ft cubed
169 1/8 ft.^3
169 Start Fraction 1 over 8 end fraction ft cubed
251 1/8 ft.^3
GPT 3.5
The volume of the shipping container can be calculated using the formula V = B x h, where V is the volume, B is the area of the base, and h is the height.
First, we need to calculate the area of the base (B). The base of the shipping container is a rectangle with dimensions 20 1/2 ft. long and 12 1/4 ft. wide. The area of a rectangle is calculated by multiplying the length by the width:
B = 20 1/2 ft. x 12 1/4 ft.
B = (41/2) ft. x (49/4) ft.
B = 41/2 x 49/4 ft.^2
B = 2009/8 ft.^2
Now, we can calculate the volume by multiplying the area of the base by the height:
V = 2009/8 ft.^2 x 8 1/4 ft.
V = (2009/8) x (33/4) ft.^3
V = 66757/32 ft.^3
V = 2,086 25/32 ft.^3
Therefore, the volume of the shipping container is approximately 2,086 25/32 ft.^3.
First, we need to calculate the area of the base (B). The base of the shipping container is a rectangle with dimensions 20 1/2 ft. long and 12 1/4 ft. wide. The area of a rectangle is calculated by multiplying the length by the width:
B = 20 1/2 ft. x 12 1/4 ft.
B = (41/2) ft. x (49/4) ft.
B = 41/2 x 49/4 ft.^2
B = 2009/8 ft.^2
Now, we can calculate the volume by multiplying the area of the base by the height:
V = 2009/8 ft.^2 x 8 1/4 ft.
V = (2009/8) x (33/4) ft.^3
V = 66757/32 ft.^3
V = 2,086 25/32 ft.^3
Therefore, the volume of the shipping container is approximately 2,086 25/32 ft.^3.
What is the volume of a shoebox that is 1 1/2 ft. long, 3/4 ft. wide, and 1/2 ft. tall? Apply the V=B×h formula to solve.(1 point)
Responses
9 1/6 ft.^3
Start Fraction 9 over 16 end fraction ft cubed
3/4 ft.^3
Start Fraction 3 over 4 end fraction ft cubed
1 1/8 ft.^3
1 Start Fraction 1 over 8 end fraction ft cubed
2 3/4 ft.^3
2 Start Fraction 3 over 4 end fraction ft cubed
Responses
9 1/6 ft.^3
Start Fraction 9 over 16 end fraction ft cubed
3/4 ft.^3
Start Fraction 3 over 4 end fraction ft cubed
1 1/8 ft.^3
1 Start Fraction 1 over 8 end fraction ft cubed
2 3/4 ft.^3
2 Start Fraction 3 over 4 end fraction ft cubed
GPT 3.5
To find the volume of the shoebox, we will use the formula V = B x h, where V is the volume, B is the area of the base, and h is the height.
First, let's calculate the area of the base (B). The base of the shoebox is a rectangle with dimensions 1 1/2 ft long and 3/4 ft wide. The area of the rectangle is calculated by multiplying the length by the width:
B = 1 1/2 ft x 3/4 ft
B = (3/2) ft x (3/4) ft
B = 9/8 ft^2
Now, let's calculate the volume by multiplying the base area by the height:
V = 9/8 ft^2 x 1/2 ft
V = 9/8 x 1/2 ft^3
V = 9/16 ft^3
V = 9 1/16 ft^3
Therefore, the volume of the shoebox is 9 1/16 ft^3.
First, let's calculate the area of the base (B). The base of the shoebox is a rectangle with dimensions 1 1/2 ft long and 3/4 ft wide. The area of the rectangle is calculated by multiplying the length by the width:
B = 1 1/2 ft x 3/4 ft
B = (3/2) ft x (3/4) ft
B = 9/8 ft^2
Now, let's calculate the volume by multiplying the base area by the height:
V = 9/8 ft^2 x 1/2 ft
V = 9/8 x 1/2 ft^3
V = 9/16 ft^3
V = 9 1/16 ft^3
Therefore, the volume of the shoebox is 9 1/16 ft^3.
Using the formula V=B×h , what is the volume of a rectangular prism with a width of 3 1/4 in., a length of 5 1/8 in., and a height of 7 3/8 in.? Your answer should be a mixed number in simplest form.
GPT 3.5
To find the volume of a rectangular prism, you can use the formula V = B x h, where V is the volume, B is the area of the base, and h is the height.
First, let's find the area of the base (B) of the rectangular prism by multiplying the length by the width:
B = (5 1/8) in. x (3 1/4) in.
B = (41/8) in. x (13/4) in.
B = 41/8 x 13/4 in.^2
B = 533/32 in.^2
Now, let's find the volume by multiplying the base area by the height:
V = 533/32 in.^2 x 7 3/8 in.
V = (533/32) x (59/8) in.^3
V = 31347/256 in.^3
V = 122 11/256 in.^3
Therefore, the volume of the rectangular prism is 122 11/256 cubic inches.
First, let's find the area of the base (B) of the rectangular prism by multiplying the length by the width:
B = (5 1/8) in. x (3 1/4) in.
B = (41/8) in. x (13/4) in.
B = 41/8 x 13/4 in.^2
B = 533/32 in.^2
Now, let's find the volume by multiplying the base area by the height:
V = 533/32 in.^2 x 7 3/8 in.
V = (533/32) x (59/8) in.^3
V = 31347/256 in.^3
V = 122 11/256 in.^3
Therefore, the volume of the rectangular prism is 122 11/256 cubic inches.
Using the formula V=B×h , what is the volume of a rectangular prism with a length of 10 2/5 in., a width of 8 1/2 in., and a height of 6 1/4 in.? Your answer should be a mixed number in simplest form.
GPT 3.5
To find the volume of a rectangular prism, you can use the formula V = B x h, where V is the volume, B is the area of the base, and h is the height.
First, let's find the area of the base (B) of the rectangular prism by multiplying the length by the width:
B = (10 2/5) in. x (8 1/2) in.
B = (52/5) in. x (17/2) in.
B = 884/10 in.^2
B = 44 2/5 in.^2
Now, let's find the volume by multiplying the base area by the height:
V = 44 2/5 in.^2 x 6 1/4 in.
V = (44 2/5) x (25/4) in.^3
V = 221 x 25/1 in.^3
V = 5525 in.^3
Therefore, the volume of the rectangular prism is 5525 cubic inches.
First, let's find the area of the base (B) of the rectangular prism by multiplying the length by the width:
B = (10 2/5) in. x (8 1/2) in.
B = (52/5) in. x (17/2) in.
B = 884/10 in.^2
B = 44 2/5 in.^2
Now, let's find the volume by multiplying the base area by the height:
V = 44 2/5 in.^2 x 6 1/4 in.
V = (44 2/5) x (25/4) in.^3
V = 221 x 25/1 in.^3
V = 5525 in.^3
Therefore, the volume of the rectangular prism is 5525 cubic inches.