To find the volume of each rectangular prism, we count the number of blocks along the length ($l$), width ($w$), and height ($h$). Then, we multiply these three numbers together using the formula:
$$Volume = l \times w \times h$$
Here is the step-by-step solution for each problem:
1)
*
Count the blocks:
* Length ($l$): 4 blocks
* Width ($w$): 2 blocks
* Height ($h$): 2 blocks
*
Calculate Volume: $4 \times 2 \times 2 = 16$
2)
*
Count the blocks:
* Length ($l$): 3 blocks
* Width ($w$): 5 blocks
* Height ($h$): 4 blocks
*
Calculate Volume: $3 \times 5 \times 4 = 60$
3)
*
Count the blocks:
* Length ($l$): 5 blocks
* Width ($w$): 4 blocks
* Height ($h$): 4 blocks
*
Calculate Volume: $5 \times 4 \times 4 = 80$
4)
*
Count the blocks:
* Length ($l$): 5 blocks
* Width ($w$): 3 blocks
* Height ($h$): 2 blocks
*
Calculate Volume: $5 \times 3 \times 2 = 30$
5)
*
Count the blocks:
* Length ($l$): 5 blocks
* Width ($w$): 5 blocks
* Height ($h$): 5 blocks
*
Calculate Volume: $5 \times 5 \times 5 = 125$
6)
*
Count the blocks:
* Length ($l$): 2 blocks
* Width ($w$): 2 blocks
* Height ($h$): 5 blocks
*
Calculate Volume: $2 \times 2 \times 5 = 20$
7)
*
Count the blocks:
* Length ($l$): 4 blocks
* Width ($w$): 3 blocks
* Height ($h$): 3 blocks
*
Calculate Volume: $4 \times 3 \times 3 = 36$
8)
*
Count the blocks:
* Length ($l$): 4 blocks
* Width ($w$): 4 blocks
* Height ($h$): 3 blocks
*
Calculate Volume: $4 \times 4 \times 3 = 48$
Final Answer:
1) l = 4, w = 2, h = 2, v = 16
2) l = 3, w = 5, h = 4, v = 60
3) l = 5, w = 4, h = 4, v = 80
4) l = 5, w = 3, h = 2, v = 30
5) l = 5, w = 5, h = 5, v = 125
6) l = 2, w = 2, h = 5, v = 20
7) l = 4, w = 3, h = 3, v = 36
8) l = 4, w = 4, h = 3, v = 48
Parent Tip: Review the logic above to help your child master the concept of grade 5 math.
