4. The length, breadth, and height of a box are 60 cm,
15 cm, and 30 cm respectively. Find the volume and
total surface area of the box.
total surface
Answers
Answer:
the total surface area of the box is 6,300 cm².
the volume of the box is 27,000cm³.
Step-by-step explanation:
length (L):- 60 cm
breadth (B):- 15 cm
height (H):- 30 cm
volume of the box( cuboid ):- LxBxH
= 60x15x30
= 27,000cm³
total surface area of a box = 2( LB + BH + LH)
= 2 (60x15 + 15x30 + 60x30)
= 2 ( 900 + 450 + 1800 )
= 2 ( 3150 )
= 6,300
ans:- the total surface area of the box is 6,300 cm² and the volume is 27,000cm³.
Given:-
- The measure of length breadth and height of a box are 60cm , 15cm , 30cm .
To Find :-
- The volume and the total surface area of the box
Solution:-
As the object is a box ,
so it must cuboidal in shape.
The length of the cuboidal box is 60 cm
The breadth of the cuboidal box is 15 cm
The height of the cuboidal box is 30 cm.
Now,
The volume of a cuboid is = ( length × breadth × height ) cubic unit.
= ( 60 × 15 × 30 ) cm³
= 27500 cm³
The total surface area of the cuboid is
= 2 ( length×breadth + breadth×height + length×height ) square unit.
= 2 ( 60 × 15 + 15 × 30 + 60 × 30 ) cm²
= 2 ( 900 + 450 + 1800 ) cm²
= 2 × 3150 cm²
= 6300 cm²
know more:-
- The volume of a cuboid is = ( length × breadth × height ) cubic unit.
- The total surface area of the cuboid is
= 2 ( length×breadth + breadth×height + length×height ) square unit.
- The curved surface area of a cuboid is = 2 × height ( length + breadth ) square unit.