If length, breadth and height of a cuboid are 20cm, 15cm and 10cm respectively, then find :
(a) Area of the base.
(b) Surface area of its vertical faces.
(c) Volume.
Answer
379.8k+ views
Hint:In order to solve this problem, we must use formulas of surface area and volume of Cuboid along with proper understanding of length, breadth and height of cuboid to get the required result.
Complete step-by-step answer:
In the question it is given the length(l) = 20cm, breadth(b) =15cm, height(h)=10cm of cuboid.
(A) Area of base ABCD = length(l) × breadth(b)
So on putting the values of length(l) & breadth(b)
=20×15
=300${\text{c}}{{\text{m}}^2}$.
(B) Surface area of its vertical faces
Here it is total 4 vertical surfaces, ABEF, BEHC, HCDG, AFGD
By observing the given figure, we can say that Surface area of its vertical faces ABEF, HCDG will be equal and will be the length(l) × height(h)
So Surface area of its vertical faces ABEF, HCDG = 2 (length(l) × height(h))
Similarly, by observing the given figure, we can say that Surface area of its vertical faces BEHC, AFGD will be equal and will be the breadth(b) × height(h)
So Surface area of its vertical faces BEHC, AFGD = 2 (breadth(b) × height(h))
So Total Surface area of its vertical faces =
2 (length(l) × height(h)) + 2 (breadth(b) × height(h))
=2(lh+bh)
So on putting all the values
= 2(20×10+15×10)
=2×350
=700 ${\text{c}}{{\text{m}}^2}$.
(C) we know that the Volume of cuboid is equal to length(l) × breadth(b) × height(h)
So on putting all the value
=20×15×10
=300×10
=3000 ${\text{c}}{{\text{m}}^3}$.
Note: Whenever we face such types of problems the key concept we have to remember is that always remember the formula of Surface area and volume of Cuboid which are stated above, then using those formulas calculate, whatever is asked in question.

Complete step-by-step answer:
In the question it is given the length(l) = 20cm, breadth(b) =15cm, height(h)=10cm of cuboid.
(A) Area of base ABCD = length(l) × breadth(b)
So on putting the values of length(l) & breadth(b)
=20×15
=300${\text{c}}{{\text{m}}^2}$.
(B) Surface area of its vertical faces
Here it is total 4 vertical surfaces, ABEF, BEHC, HCDG, AFGD
By observing the given figure, we can say that Surface area of its vertical faces ABEF, HCDG will be equal and will be the length(l) × height(h)
So Surface area of its vertical faces ABEF, HCDG = 2 (length(l) × height(h))
Similarly, by observing the given figure, we can say that Surface area of its vertical faces BEHC, AFGD will be equal and will be the breadth(b) × height(h)
So Surface area of its vertical faces BEHC, AFGD = 2 (breadth(b) × height(h))
So Total Surface area of its vertical faces =
2 (length(l) × height(h)) + 2 (breadth(b) × height(h))
=2(lh+bh)
So on putting all the values
= 2(20×10+15×10)
=2×350
=700 ${\text{c}}{{\text{m}}^2}$.
(C) we know that the Volume of cuboid is equal to length(l) × breadth(b) × height(h)
So on putting all the value
=20×15×10
=300×10
=3000 ${\text{c}}{{\text{m}}^3}$.
Note: Whenever we face such types of problems the key concept we have to remember is that always remember the formula of Surface area and volume of Cuboid which are stated above, then using those formulas calculate, whatever is asked in question.
Recently Updated Pages
Which of the following would not be a valid reason class 11 biology CBSE

What is meant by monosporic development of female class 11 biology CBSE

Draw labelled diagram of the following i Gram seed class 11 biology CBSE

Explain with the suitable examples the different types class 11 biology CBSE

How is pinnately compound leaf different from palmately class 11 biology CBSE

Match the following Column I Column I A Chlamydomonas class 11 biology CBSE

Trending doubts
The lightest gas is A nitrogen B helium C oxygen D class 11 chemistry CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Which place is known as the tea garden of India class 8 social science CBSE

What is pollution? How many types of pollution? Define it

Write a letter to the principal requesting him to grant class 10 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Draw a diagram of a plant cell and label at least eight class 11 biology CBSE
