3 identical cuboids have been stacked as shown. Find the volume of the entire
solid.
3 cm
5 cm
10 cm
Answers
Answer:
The volume of the entire solid = 450 cm³
Step-by-step explanation:
Given:
- 3 identical cuboids have been stacked as shown.
- Length of the cuboid = 3 cm
- Breadth of the cuboid = 5 cm
- Height of the cuboid = 10 cm
To find:
- The volume of the entire solid.
Solution:
First we will find volume of one cuboid. We know that three identical cuboids are stacked together, which means three cuboids of same length, breadth and height are stacked/joined together. So, we will multiply volume of 1 cuboid by 3 to find the volume of the entire solid, which is shown in the attachment.
Lets find out...
♦ Volume of a cuboid = l × b × h
Where,
l is the length of a cuboid.
b is the breadth of a cuboid.
h is the height of a cuboid.
Putting the values in the formula, we have:
- Volume of a cuboid = 3 × 5 × 10
- Volume of a cuboid = 15 × 10
- Volume of a cuboid = 150 cm³
Finally,
- Volume of the entire solid = 3 × 150
- Volume of the entire solid = 450 cm³
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Answer:
volume of one cuboid : length of the cuboid × breadth of the cuboid × height of the cuboid
: 3cm × 5cm × 10cm
: 150cm^3
volume of 3 identical cuboids : 3 × volume of one cuboid : 3 × 150cm^3
: 450cm^3