Respuesta :
Answer: The total surface area of the block is 1160 cm squared. The area of the surface of the table covered by the block is 30 centimeters squared. The surface area of the table covered by the block is also 300 centimeters squared.
Step-by-step explanation:
Surface Area = 2(length × width) + 2(width × height) + 2(length × height)
We know that:
Length (l) = 20 cm
Width (w) = 15 cm
Height (h) = 8 cm
The we have to substitute the values into the formula:
Surface Area = 2(20 × 15) + 2(15 × 8) + 2(20 × 8)
= 2(300) + 2(120) + 2(160)
= 600 + 240 + 320
= 1160 square cm
The total surface area of the block is 1160 square cm.
(ii) When the block is placed on a table with its length and breadth covering the surface:
The area covered by the block will be the product of its length and breadth.
Area = Length × Breadth
= 20 cm × 15 cm
= 300 square cm
The area of the surface of the table covered by the block is 300 square cm.
(iii) When the block is placed vertically on the table:
In this case, the area covered by the block will be the same as the area of its base, which is length × width.
Area = Length × Width
= 20 cm × 15 cm
= 300 square cm
The area of the surface of the table covered by the block when placed vertically is also 300 square cm.
