Question

area of the base:volume of rectangular prisms:practice finding the volume of rectangular prisms below. all measurements are in centimeters. start with question #1, then roll a pair of dice and find the sum of the two numbers showing. solve that problem.12345668418822109253186123789101112581101685222221042show work here:summarize todays lesson:

Explanation:

Step1: Recall volume formula

Volume of rectangular prism: $V = l \times w \times h$

Step2: Solve #1: Substitute values

$V = 8 \times 4 \times 6 = 192$

Step3: Solve #2: Substitute values

$V = 8 \times 8 \times 1 = 64$

Step4: Solve #3: Substitute values

$V = 18 \times 3 \times 22 = 1188$

Step5: Solve #4: Substitute values

$V = 25 \times 9 \times 10 = 2250$

Step6: Solve #5: Count dimensions (4×5×3)

$V = 4 \times 5 \times 3 = 60$

Step7: Solve #6: Substitute values

$V = 12 \times 6 \times 3 = 216$

Step8: Solve #7: Substitute values

$V = 8 \times 1 \times 5 = 40$

Step9: Solve #8: Substitute values

$V = 16 \times 8 \times 10 = 1280$

Step10: Solve #9: Substitute values

$V = 2 \times 2 \times 5 = 20$

Step11: Solve #10: Count dimensions (5×3×2)

$V = 5 \times 3 \times 2 = 30$

Step12: Solve #11: Substitute values

$V = 2 \times 2 \times 2 = 8$

Step13: Solve #12: Substitute values

$V = 4 \times 2 \times 10 = 80$

Step14: Summarize the lesson

The lesson covers calculating the volume of rectangular prisms (including cubes, a type of rectangular prism) using the formula $V = l \times w \times h$, where $l$ = length, $w$ = width, $h$ = height. Volume measures the space inside a 3D rectangular shape, calculated by multiplying its three linear dimensions.

Answer:

1. $192 \text{ cm}^3$
2. $64 \text{ cm}^3$
3. $1188 \text{ cm}^3$
4. $2250 \text{ cm}^3$
5. $60 \text{ cm}^3$
6. $216 \text{ cm}^3$
7. $40 \text{ cm}^3$
8. $1280 \text{ cm}^3$
9. $20 \text{ cm}^3$
10. $30 \text{ cm}^3$
11. $8 \text{ cm}^3$
12. $80 \text{ cm}^3$

Summary: Today's lesson taught how to find the volume of rectangular prisms by multiplying their length, width, and height, and applied this to real-world and grid-based 3D shapes.