find 1.the volume of the cuboid 30 cm long 24cm wide and 18 cm high
2.the volume of the cubes is 100 cubic cm. find its total surface area
3.the lenght of a diagonal of a cube is 17.32cm. find the volume of the cube
Answers
✓✓✓✓1. 3384cm²
✓✓✓✓2. Let the length of side of cube =l cm.
Then, Total surface area of cube=6l
2
.
Given, the total surface area of the cube =100cm
3
.
⟹100=6l
2
⟹l
2
=
6
100
⟹l=(
6
100
)
2
1
.
Then, Volume of cube V=l
3
=[(
6
100
)
2
1
]
3
∴ Volume of cube =(
6
100
)
2
3
✓✓✓ 3. Let a be the edge of the cube.
As we know that,
Length of diagonal (d) of a cube is given by-
d=
3
a
Given that:- d=17.32cm
⇒a=
3
17.32
=
1.732
17.32
=10cm
Now as we know that volume of cube (V) is given as,
V=a
3
∵a=10cm
∴V=(10)
3
=1000cm
3
Hence the correct answer is 1000cm
3
.
Answer:
1.volume=l×b×h
30×24×18=12960cm^3
2.volume of cube=a^3
side a= cube root of 100=4.61
total surface area of cube=6a^2
= 129.26cm^2
3.length of diagonal of cube=a root 3
17.32=a×1.732
a=10cm
volume of cube=a^3
=1000cm^3
Hope this helps you plz mark me the brainliest!!