L11 · Volume with fractional edges

1. 1.

   A rectangular prism has length 3 in, width 12 in, and height 2 in. Find the volume.

   Answer. 3 cubic in

   V = ℓwh = 3 × 12 × 2 = 3 cubic in.

2. 2.

   A rectangular prism has length 5 in, width 13 in, and height 4 in. Find the volume.

   Answer. 623 cubic in

   V = ℓwh = 5 × 13 × 4 = 623 cubic in.

3. 3.

   A rectangular prism has length 4 in, width 14 in, and height 2 in. Find the volume.

   Answer. 2 cubic in

   V = ℓwh = 4 × 14 × 2 = 2 cubic in.

4. 4.

   A rectangular prism has length 5 in, width 12 in, and height 5 in. Find the volume.

   Answer. 1212 cubic in

   V = ℓwh = 5 × 12 × 5 = 1212 cubic in.

5. 5.

   A rectangular prism has length 2 in, width 13 in, and height 5 in. Find the volume. Then Luis needs 4 of that amount. What is the total they need?

   Answer. 1313 cubic in

   V = ℓwh = 2 × 13 × 5 = 313 cubic in. Then multiply by 4: 1313 cubic in.

6. 6.

   A rectangular prism has length 4 in, width 12 in, and height 4 in. Find the volume. Then Luis needs 5 of that amount. What is the total they need?

   Answer. 40 cubic in

   V = ℓwh = 4 × 12 × 4 = 8 cubic in. Then multiply by 5: 40 cubic in.

7. 7.

   A rectangular prism has length 2 in, width 12 in, and height 2 in. Find the volume. Then Nora needs 4 of that amount. What is the total they need?

   Answer. 8 cubic in

   V = ℓwh = 2 × 12 × 2 = 2 cubic in. Then multiply by 4: 8 cubic in.

8. 8.

   A rectangular prism has length 2 in, width 14 in, and height 4 in. Find the volume. Then Jonah needs 4 of that amount. What is the total they need?

   Answer. 8 cubic in

   V = ℓwh = 2 × 14 × 4 = 2 cubic in. Then multiply by 4: 8 cubic in.

9. 9.

   A rectangular prism has length 6 in, width 14 in, and height 3 in. Find the volume. Then Mei needs 4 of that amount. What is the total they need?

   Answer. 18 cubic in

   V = ℓwh = 6 × 14 × 3 = 412 cubic in. Then multiply by 4: 18 cubic in.

10. 10.

    A rectangular prism has length 5 in, width 13 in, and height 3 in. Find the volume. Then Malik needs 5 of that amount. What is the total they need?

    Answer. 25 cubic in

    V = ℓwh = 5 × 13 × 3 = 5 cubic in. Then multiply by 5: 25 cubic in.

11. 11.

    Think

    Luis tried this problem:
    A rectangular prism has length 4 in, width 12 in, and height 5 in. Find the volume.
    Luis wrote -10 cubic in. That is not correct. What is the right answer?

    Answer. 10 cubic in

    Luis’s answer -10 cubic in is off. V = ℓwh = 4 × 12 × 5 = 10 cubic in.

12. 12.

    Think

    Ava tried this problem:
    A rectangular prism has length 2 in, width 12 in, and height 3 in. Find the volume.
    Ava wrote 6 cubic in. That is not correct. What is the right answer?

    Answer. 3 cubic in

    Ava’s answer 6 cubic in is off. V = ℓwh = 2 × 12 × 3 = 3 cubic in.

Original extra practice. Keys are computed from the items, not guessed.