# on areas

posted by .

the surface area of the three faces having the same border of a cuboid are 4,10,40 sq.cm respectively. find the volume of the cuboid?

• on areas -

let the dimensions of the cube be x, y , and z
xy = 4, (#1)
xz=10 and (#2)
yz=40 (#3)

#1 รท #2 :
z/y = 5/2
y = 2z/5

In #3: yz=40 ---> (2/5)z^2 = 40
z^2 = 100
z = 10
then y = (2/5)(10)
y = 4
in #1
xy=4
4x = 4
x = 1

volume = xyz = 1 x 4 x 10 = 40

check:
xy = 1x4 = 4
xz = 1x10 = 10
yz = 4x40 = 40

## Similar Questions

1. ### Math

The shaded face of the cuboid is a square and has an area of 64 cm2. What is the volume of the cuboid that has a width of 17 cm?
2. ### maths

calculate the surface area of the following prism cuboid; scm 6cm 4cm what is the surface area of the cuboid
3. ### maths

calculate the surface area of the following prism cuboid; 2cm 6cm 4cm what is the surface area of the cuboid
4. ### Mathematics

a cuboid with length 13cm width 4cm and height h State in terms of h the shaded face of the cuboid. write an expression in terms of h for the volume of the cuboid. if the volume of the cuboid is 286cm cube calculate the height h of …
5. ### maths-urgently needed

The areas of the the three adjacent faces of a cuboid are 600 sq.cm 300sq.cm and 200 sq.cm.find the sum of the length,breadth and height of the cuboid ?
6. ### maths-urgently needed

A cube or a cuboid had the volume the measurement of the cubiod area in the ratio 1:2:3 if the difference between thee cost of painting the cuboid & cube (whole surface area) at the rate of 5m is rs80 find their volume
7. ### Math

A rectangular sheet measuring 80cm and 50cm is 2mm thick and is made of metal whose density is 2.5g/cm cubed.A square of side 5cm is removed from each corner of the rectangle & the remaining part folded to form an open cuboid. Calculate …
8. ### algebra

Find the lateral surface of a cuboid whose length, breadth and height are in a ratio of 4:3;2 and volume of the cuboid is 5184 cubic metre.
9. ### math

If the areas of three adjacent faces of a cuboid are 8 sq .cm and18 sq.cm and25 sq.cm . Then find the volume of cuboid
10. ### maths

The height of cuboid is 4 cm and the volume of the cuboid is 60 cm^3.What is the area of the shaded face?

More Similar Questions