Question

Find the i) LSA ii) TSA of cube whose edge is 4cm​

Answer 1

Answer:

LSA =  256                             TSA =  4096

Step-by-step explanation:

LSA = $a^{4}$

LSA = $4^{4}$

LSA = 256$cm^{2}$

TSA = $a^{6}$

TSA =$4^{6}$

TSA = 4096$cm^{2}$

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Answer 2

Given:- a cube whose edge is 4cm.

To Find:-

• Lateral surface area and
• Total surface area of cube

Solution:-

(i) Lateral Surface Area of cube = 4 edge²

= 4 × (4)²

= 4 × 16

= 54cm²

(ii) Total Surface Area of cube = 6 edge²

= 6 (4)²

= 6 × 16

= 96cm²

Therefore, LSA of cube is 54 sq cm and TSA is 96 sq cm.

Extra Formulas:-

Cuboid:

• Volume = (l x b x h) cubic units

• Surface area = 2(lb + bh + lh)

• Diagonal = l^2 + b^2 + h^2

Cylinder:

• Volume = (r^2h) cubic units.

• Curved surface area = (2rh)

• Total surface area = 2r(h + r)

Sphere:

• Volume = r^3 cubic units.

• Surface area = (4r^2) sq. units.

Hemisphere:

• Volume = r^3 cubic units.

• Curved surface area = (2r^2)

• Total surface area = (3r^2)