Question

a cuboid has total surface area of 372cm^ and its lateral surface area is 180cm^.find the area of its base.

Answer 1

Answer:

Step-by-step explanation:

TAS of cuboid = 2*(lw+wh+hl)

372=2*(lw+wh+hl)...........(1)

LST of cuboid = 2 h(l+w)

180 =2*h(l+w)........(2)

area of base = l*w

adding eq 1 and 2

372 + 180 = 2*(lw+wh+hl)+2*h(l+W)

552= 2lw+

Answer 2

Step-by-step explanation:

Given A cuboid has total surface area of 372 cm^2 and its lateral surface area is 180 cm^2.find the area of its base.

• We know that total surface area of cuboid = 2 (lb + bh + lh)
• So 2(lb + bh + lh) = 372 sq cm
• Or lb + bh + lh = 186
• We know that lateral surface area of cuboid = 2 (lh + bh)
• So 2(lh + bh) = 180 sq cm
• Or lb + bh = 90
• Now lb + bh + lh = 186
• Or lb + 90 = 186
• Or lb = 186 – 90
• Or lb = 96 sq cm
• Now the base of cuboid is a rectangle and area of base is lb
• Therefore the area of base of cuboid will be 96 sq cm

Reference link will be

https://brainly.in/question/7851886