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omsomfigure2.52base a 20 cmfigure B:ta20 cm5 pmfigure.boromomsomfigure D:tasarea 2018.paretAmong-example-1

1 Answer

5 votes

We will compute the volume of each figure.

1) Figure A

We have a cone with:

• Ab = base area = 20 cm²,

,

• h = heigh = 5 cm.

The volume of the cone is:


V_A=(1)/(3)\cdot A_b\cdot h=(1)/(3)\cdot(20cm^2)\cdot5\operatorname{cm}\cong33.3cm^3\text{.}

2) Figure B

We have a cylinder with:

• Ab = base area = 20 cm²,

,

• h = heigh = 6 cm.

The volume of the cylinder is:


V_B=A_b\cdot h=20cm^2\cdot6\operatorname{cm}=120cm^3.

3) Figure C

We have an inclined cylinder with:

• Ab = base area = 20 cm²,

,

• h = heigh = 5 cm.

The volume of the inclined cylinder is:


V_C=A_b\cdot h=20cm^2\cdot5\operatorname{cm}=100cm^3.

4) Figure D

We have a parallelepiped with:

• Ab = base area = 20 cm²,

,

• h = heigh = 5 cm.

The volume of the parallelepiped is:


V_D=A_b\cdot h=20cm^2\cdot5\operatorname{cm}=100cm^3.

5) Figure E

We have an inclined square pyramid with:

• Ab = base area = 20 cm²,

,

• h = heigh = 10 cm.

The volume of the square pyramid is:


V_E=(1)/(3)\cdot A_b\cdot h=(1)/(3)\cdot(20cm^2)\cdot10\operatorname{cm}\cong66.67cm^3\text{.}

Answer

Among these figures, figure C and figure D have the same volume.

User Gael Lorieul
by
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