To have the same volume, figures must have the same: (select all that apply)
1 answer:
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Picture relating to the question can be found in the picture attached below.
Answer:
Angle DCA = Angle CAB
Angle A + Angle B + Angle C = 180°
18 + 3x + 3x = 180
27°
Step-by-step explanation:
For 1:
Angle DCA = Angle CAB (Alternate angles are equal)
Angle DCA = 18°, Hence, CAB = 18°
2)
Angle A + Angle B + Angle C = 180° (sum of interior angles in a triangle)
3.)
Angle A = 18°
Angle B = 3x
Angle C = 3x
18° + 3x + 3x = 180°
4.)
18 + 3x + 3x = 180
18 + 6x = 180
6x = 180 - 18
6x = 162
x = 162 / 6
x = 27°
To find the area of a prism, you calculate the area of the cross-section and multiply that number by the length. The cross-section of this prism is a trapezium, and the formula for this is 
.
Insert your given numbers to find out the area of this prism's cross-section:
Now, multiply 90 by the length, 10cm, to find out the volume of the prism;
90×10=900cm³
Therefore, your answer id the third option.
Insert your given numbers to find out the area of this prism's cross-section:
Now, multiply 90 by the length, 10cm, to find out the volume of the prism;
90×10=900cm³
Therefore, your answer id the third option.