Jamal needs to find the volume of a rectangular prism that has a height of 7 1/3 in., a length of 3 1/4 in., and a width of 5 1/6 in. Which option shows the correct method for solving this problem?(1 point)
Responses
V=7 1/3×3 1/4×5 1/6
upper V equals 7 Start Fraction 1 over 3 End Fraction times 3 Start Fraction 1 over 4 End Fraction times 5 Start Fraction 1 over 6 End Fraction
V=3 1/4×5 1/6
upper V equals 3 Start Fraction 1 over 4 End Fraction times 5 Start Fraction 1 over 6 End Fraction
V=7 1/3+3 1/4+5 1/6
upper V equals 7 Start Fraction 1 over 3 End Fraction plus 3 Start Fraction 1 over 4 End Fraction plus 5 Start Fraction 1 over 6 End Fraction
V=7×3×5
V=7 1/3 x 3 1/4 x 5 1/6
upper V equals 7 1/3 x 3 1/4 x 5 1/6
What is the volume of a rectangular prism that has a height of 10 1/2 in., a length of 6 2/3 in., and a width of 2 1/4 in.? Is it large enough to hold an item that has a height of 8 in., a length of 6 in., and a width of 2 in.?(1 point)
Responses
157 1/2 in.3 and yes, the item should fit inside the prism.
157 Start Fraction 1 over 2 End Fraction in cubed and yes, the item should fit inside the prism.
15 in.3 and no, the item will not fit inside the prism.
15 in cubed and no, the item will not fit inside the prism.
160 in.3 and yes, the item should fit inside the prism.
160 in cubed and yes, the item should fit inside the prism.
3,780/24 in.3 and no, the item will not fit inside the prism.
To find the volume of the rectangular prism, first calculate:
Height x Length x Width
= 10 1/2 x 6 2/3 x 2 1/4
= (21/2) x (20/3) x (9/4)
= 315/2
= 157 1/2 cubic inches
The volume of the rectangular prism is 157 1/2 in.3.
Checking to see if the item fits inside the prism:
Height (8 in.) ≤ Height (10 1/2 in.)
Length (6 in.) ≤ Length (6 2/3 in.)
Width (2 in.) ≤ Width (2 1/4 in.)
Since the item's dimensions are smaller or equal to the dimensions of the prism, the item will fit inside the prism.
Therefore, the correct response is:
157 1/2 in.3 and yes, the item should fit inside the prism.
What is the volume of a moving truck with the following measurements: 9 9/10 ft. long, 6 1/10 ft. high, and 6 9/10 ft. wide? Apply the volume formula for a rectangular prism to solve. (1 point)
Responses
416 691/1,000ft.3
416 start fraction 691 over 1,000 end fraction ft cubed
691 416/1,000ft.3
691 start fraction 416 over 1,000 end fraction ft cubed
68 31/100ft.3
68 start fraction 31 over 100 end fraction ft cubed
22 9/10ft.3
To find the volume of the moving truck, apply the volume formula for a rectangular prism:
Volume = Length x Height x Width
Volume = (9 9/10) ft x (6 1/10) ft x (6 9/10) ft
Volume = (99/10) ft x (61/10) ft x (69/10) ft
Volume = (99 x 61 x 69) / (10 x 10 x 10) ft^3
Volume = 416691 / 1000 ft^3
Therefore, the volume of the moving truck is 416 691/1,000 ft^3.
The correct response is:
416 691/1,000 ft^3
Applying the formula, what is the volume of a fish tank with the following dimensions: the length is 36 1/2 in., the width is 12 3/4 in., and the height is 18 1/2 in.?(1 point)
Responses
8,609 7/16in.3
8,609 Start Fraction 7 over 16 end fraction in cubed
675 1/4in.3
675 Start Fraction 1 over 4 end fraction in cubed
66 3/4in.3
66 Start Fraction 3 over 4 end fraction in cubed
235 7/8in.3
235 Start Fraction 7 over 8 end fraction in cubed
To find the volume of the fish tank, apply the formula for a rectangular prism:
Volume = Length x Width x Height
Volume = (36 1/2) in x (12 3/4) in x (18 1/2) in
Volume = (73/2) in x (51/4) in x (37/2) in
Volume = (73 x 51 x 37) / (2 x 4 x 2) in^3
Volume = 8609 / 16 in^3
Therefore, the volume of the fish tank is 8609 7/16 in^3.
The correct response is:
8,609 7/16 in^3.
When applying the volume formula, what is the volume of a rectangular cereal box with a height of 3/4
ft., a length of 1/2
ft., and width of 1/2
ft.? Answer needs to be in fraction form.
Responses
3/8ft.3 THIS IS WRONG
3 eighths ft. cubed - incorrect
1/4ft.3
1 fourth ft. cubed - no response given
3/16ft.3 THIS IS CORRET
3 over 16 ft. cubed - not selected, this is the correct answer
5/8ft.3
BUT ALMOST ALL CORRET thank you
I apologize for the confusion in my previous messages and thank you for pointing it out. I appreciate your understanding.
To find the volume of the rectangular cereal box, apply the volume formula:
Volume = Height x Length x Width
Volume = (3/4) ft x (1/2) ft x (1/2) ft
Volume = (3/4 x 1/2 x 1/2) ft^3
Volume = (3/8) ft^3
Volume = 3/8 ft^3
Therefore, the correct response is:
3/8 ft^3
Thank you for your patience, and I'm glad we could get the correct answer.
When applying the volume formula, what is the volume of a rectangular cereal box with a height of 3/4 ft., a length of 1/2 ft., and width of 1/2 ft.? Answer needs to be in fraction form.(1 point)
Responses
3/8ft.3
Start Fraction 3 over 8 end fraction ft cubed
1/4ft.3
Start Fraction 1 over 4 end fraction ft cubed
3/16ft.3
Start Fraction 3 over 16 end fraction ft cubed
5/8ft.3