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What is the volume of a rectangular prism with a length of 4cm, a width of 18cm and a height of 6cm?(1 point) Responses 4,186 cubic cm 4,186 cubic cm 432 cubic cm 432 cubic cm 28 cubic cm 28 cubic cm 72 cubic cm 72 cubic cm Question 2 What is the volume of a cube with side lengths of 22ft?(1 point) Responses 66 cubic feet 66 cubic feet 484 cubic feet 484 cubic feet 10,648 cubic feet 10,648 cubic feet 1,064 cubic feet 1,064 cubic feet Question 3 What is the volume of a rectangular prism with a length of 6.2in., a width of 5.4in., and a height of 4.7in.?(1 point) Responses 33.48 cubic inches 33.48 cubic inches 1573.56 cubic inches 1573.56 cubic inches 16.3 cubic inches 16.3 cubic inches 157.356 cubic inches 157.356 cubic inches Question 4 What is the volume of a cube with side lengths of 2ft?(1 point) Responses 2 cubic feet 2 cubic feet 6 cubic feet 6 cubic feet 8 cubic feet 8 cubic feet 10 cubic feet 10 cubic feet Question 5 What is the volume of a rectangular prism with a length of 2cm, a width of 3.3cm and a height of 4.4cm?(1 point) Responses 29.04 cubic cm 29.04 cubic cm 29.4 cubic cm 29.4 cubic cm 2.94 cubic cm 2.94 cubic cm 9.7 cubic cm

1 answer

Let's calculate the volumes for each question:

Question 1:

Volume of a rectangular prism formula:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]

Given: Length = 4 cm, Width = 18 cm, Height = 6 cm
\[ \text{Volume} = 4 \times 18 \times 6 = 432 , \text{cubic cm} \]

Response: 432 cubic cm

Question 2:

Volume of a cube formula:
\[ \text{Volume} = \text{Side}^3 \]

Given: Side length = 22 ft
\[ \text{Volume} = 22^3 = 22 \times 22 \times 22 = 10,648 , \text{cubic feet} \]

Response: 10,648 cubic feet

Question 3:

Volume of a rectangular prism formula:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]

Given: Length = 6.2 in, Width = 5.4 in, Height = 4.7 in
\[ \text{Volume} = 6.2 \times 5.4 \times 4.7 = 157.356 , \text{cubic inches} \]

Response: 157.356 cubic inches

Question 4:

Volume of a cube formula:
\[ \text{Volume} = \text{Side}^3 \]

Given: Side length = 2 ft
\[ \text{Volume} = 2^3 = 2 \times 2 \times 2 = 8 , \text{cubic feet} \]

Response: 8 cubic feet

Question 5:

Volume of a rectangular prism formula:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]

Given: Length = 2 cm, Width = 3.3 cm, Height = 4.4 cm
\[ \text{Volume} = 2 \times 3.3 \times 4.4 = 29.04 , \text{cubic cm} \]

Response: 29.04 cubic cm

Summary of Responses:

  1. 432 cubic cm
  2. 10,648 cubic feet
  3. 157.356 cubic inches
  4. 8 cubic feet
  5. 29.04 cubic cm