the volume of a cuboid is 1280m. Its breadth and height are in the ratio of 5:4 and length is 16m. find the breadth

breadth = 10m

Step-by-step explanation:

lets take the breadth 5x, so height will be 4x

Volume of cuboid= height * length * breadth

= 4x * 5x * 16 = 1280m^3

=20x^2= 80

=x^2=4

=x=√4

∴ x=2

so height will be = 4x = 4 * 2 =8m

so breadth will be = 5x = 5 * 2 =10m

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

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step-by-step explanation:

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