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3 years ago

30 POINTS what is the volume of the solid figure below

Mathematics

2 answers:

zysi [14]3 years ago

7 0

Answer:

answer 3 : $80 cm^3$

Step-by-step explanation:

Volume total= volume of the cube + volume of rectangular prism

Volume of the cube = l x w x h = 2 x 2 x 2 = 8 cm^3

Volume of rectangular prism = l x w x h = 4 x 6 x 3 = 72 cm^3

Volume total = 8 + 72 = 80

belka [17]3 years ago

3 0

Answer:

I got B) 72 cm^3

Step-by-step explanation:

cube area= 4

rectangle area= 18

4*18= 72

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3 years ago

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Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.

EastWind [94]

Answer:

From inspection of the diagram, we can see that the spinner is divided into <u>4 equal parts</u>, where 3 parts are red and 1 part is yellow.

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

Therefore,

$\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}$

$\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}$

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For independent events A and B:

$\sf P(A\:and\:B)=P(A) \times P(B)$

Therefore,

$\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}$

<h3><u>Conclusion</u></h3>

Ari is incorrect. The spinner is divided into 4 parts, where only one part is yellow. Therefore, the probability of spinning a yellow is 1/4. As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows. So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.

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