a side of cube 12cm. such three solid cubes are melted to form cuboid. If the base area of cuboid is 144 sq.cm then what is the height of cuboid
Answers
Answer:
12 CM
Step-by-step explanation:
VOLUME OF THREE CUBE=VOLUME OF A CUBOID
3A^3=L*B*H
IT IS GIVEN THAT BASE AREA=L*B=144CM^2ANDA=12 CM
3*(12)^3=144*H
1728=144*H
H=1728/144
H=12 CM
Given:
✰ Length of each side of a cube = 12 cm
✰ Three solid cubes are melted to form cuboid.
✰ The base area of cuboid = 144 cm²
To find:
✠ The height of a cuboid.
Solution:
Lets understand the concept first! We know that the three solid cubes are melted to form cuboid. So the volume of three cube is equal to the volume of the cuboid. We are provided with the length of a cube and thus we will find its volume and we know the base area of cuboid is 144 cm². Base area of a cuboid is nothing but the length multiplied by its breadth. So, putting the values in the equation, we will find out the height of a cuboid.
Let's find out...✧
Three solid cubes are melted to form cuboid. So,
➛ Volume of three cubes = Volume of a cuboid
➛ 3 × ( side )³ = l × b × h
➛ 3 × 12³ = 144 × h [ Base area of cuboid is Length multiplied by its breadth, so we will substitute its value here and doing required calculations, we will find out the height of cuboid ]
➛ 3 × 1728 = 144 × h
➛ h = 3 × 1728/144
➛ h = 1728/48
➛ h = 36 cm
∴ The height of a cuboid = 36 cm
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