Do now: These cuboids are all made from 1 cm cubes.
Can you find their volumes and surface areas?
State the units in your answers.
1
2
3
4
5
6
How well did you do? Did you show calculations ?
1
V = 1 x 2 x 4 = 8cm3
4
V = 3 x 3 x 5 = 45cm3
2
V = 3 x 3 x 3 = 27cm3
5
V = 4 x 4 x 2 = 32cm3
3
V = 2 x 2 x 4 = 16cm3
6
V = 2 x 4 x 4 = 32cm3
How well did you do? Did you show calculations ?
1
SA = 2 x 8 + 2 x 4 + 2 x 2
= 28cm2
4
SA = 2 x 9 + 2 x 15 + 2 x 15
= 78cm2
2
SA = 2 x 9 + 2 x 9 + 2 x 9
= 54cm2
5
SA = 2 x 16 + 2 x 8 + 2 x 8
= 64cm2
3
SA = 2 x 4 + 2 x 8 + 2 x 8
= 40cm2
6
SA = 2 x 8 + 2 x 8 + 2 x 16
= 64cm2
Challenge question 1:
These two shapes each have a volume of 60cm3
Can you find the missing lengths?
1
2
?
6 cm
3 cm
5 cm
?
5 cm
Extra challenge: Can you find the length, width and height of
another cuboid that has a volume of 60cm3 ?
How well did you do? Did you solve these problems
correctly, showing your calculations?
1
2
?
6 cm
3 cm
5 cm
?
3 x 5 x 4 = 60cm3
5 cm
6 x 5 x 2 =60cm3
Challenge question 2:
These two shapes have the same volume.
Can you find the missing length?
4 cm
8 cm
4 cm
10 cm
5 cm
?
How well did you do? Did you solve the problem
correctly, showing your calculations?
4 cm
8 cm
3 cm
10 cm
8 x 3 x 10 = 240cm3
5 cm
?
4 x 5 x 12 =240cm3
How did you work out the answer?