3. ) A rectangular prism measures 10 cm by 7 cm by 3 cm, what is the s

1.	3. ) A rectangular prism measures 10 cm by 7 cm by 3 cm, what is the surfacearea?A 302 cm²B. 245 cm²C. 242 cm²D.200 cm²
Answer» Answer: ♢ Surface area of the prism = 242 cm². SOLUTION Length of the rectangular prism = 10cm. Breadth of the rectangular prism = 7cm. Height of the rectangular prism = 3cm. The rectangular prism is actually in the shape of a cuboid. TSA Total Surface Area (TSA) of a cuboid = 2(lb + bh + LH) , Where l is the length , b is the breadth and h is the height of the cuboid. Here , l = 10cm. b = 7cm. h = 3cm. ⇒ TSA of the cuboid = 2(10×7 + 7×3 + 10×3) ⇒ TSA of the cuboid = 2(70 + 21 + 30) ⇒ TSA of the cuboid = 2 × 121 ⇒ TSA of the cuboid = 242 cm². LSA Lateral surface area (LSA) of a cuboid = 2(l + b) × h , Where l is the length , b is the breadth and h is the height of the cuboid. Here , l = 10cm. b = 7cm. h = 3cm. ⇒ LSA of the cuboid = 2( 10 + 7) × 3 ⇒ LSA of the cuboid = 2 × 17 × 3 ⇒ LSA of the cuboid = 102 cm²

3. ) A rectangular prism measures 10 cm by 7 cm by 3 cm, what is the surfacearea?A 302 cm²B. 245 cm²C. 242 cm²D.200 cm²

Answer»

Answer:

♢ Surface area of the prism = 242 cm².

Length of the rectangular prism = 10cm.

Breadth of the rectangular prism = 7cm.

Height of the rectangular prism = 3cm.

The rectangular prism is actually in the shape of a cuboid.

Total Surface Area (TSA) of a cuboid = 2(lb + bh + LH) , Where l is the length , b is the breadth and h is the height of the cuboid.

Here ,

l = 10cm.

b = 7cm.

h = 3cm.

⇒ TSA of the cuboid = 2(10×7 + 7×3 + 10×3)

⇒ TSA of the cuboid = 2(70 + 21 + 30)

⇒ TSA of the cuboid = 2 × 121

⇒ TSA of the cuboid = 242 cm².

Lateral surface area (LSA) of a cuboid = 2(l + b) × h , Where l is the length , b is the breadth and h is the height of the cuboid.

Here ,

l = 10cm.

b = 7cm.

h = 3cm.

⇒ LSA of the cuboid = 2( 10 + 7) × 3

⇒ LSA of the cuboid = 2 × 17 × 3

⇒ LSA of the cuboid = 102 cm²