Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

General

General

Easy

Question

From a cuboid measuring 7 cm by 8 cm by 9 cm , a cube of side 5 cm is cut. What is the volume of the remaining cuboid ?

hint Hint:

A cube is a solid 3 dimensional figure with six-faces, 8 vertices and 12 edges. Its faces are squares.

A cuboid is a solid 3 dimensional figure with six-faces, 8 vertices and 12 edges. Its faces are rectangles.

Volume is the capacity of a certain object to carry or hold another objects within i.e. the amount of space that the object holds.

Volume of a cube = $a cubed$ (where a = length of each edge of the cube.)

Volume of a cuboid = length $cross times$ width $cross times$ height

The correct answer is: Volume of the remaining part is 379 cm3.

Step-by-step solution:
From the given information, we get - Dimensions of the cuboid = 7cm * 8 cm * 9 cm
Edge of the cube = 5cm
We know that-
Volume of a cuboid = length $cross times$ breadth $cross times$ height
∴ Volume of the given cuboid = 7 $cross times$ 8 $cross times$ 9
∴ Volume of the given cuboid = 504 $c m cubed$ ........................................................................ (Equation i)
Also, Volume of a cube = $open parentheses L e n g t h space o f space i t s space e d g e close parentheses cubed$ .
∴ Volume of the given cube = 53.
∴ Volume of the given cube = 125 $c m cubed$ ........................................................................... (Equation ii)
We need to find the volume of the cuboid after cutting the cube from it. i.e. volume of the remaining part.
Volume of the remaining part = Volume of the cuboid - Volume of the cube.
∴ Volume of the remaining part = 504 - 125 .......................................................... (From Equations i & ii)

∴ Volume of the remaining part = 379 $c m cubed$ .

Related Questions to study

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.