Answer:
The volume is ![12000 in^3](https://tex.z-dn.net/?f=12000%20in%5E3)
Step-by-step explanation:
From the question ,
and ![H=10\:in.](https://tex.z-dn.net/?f=H%3D10%5C%3Ain.)
The volume of a pyramid is given as
![V=\frac{1}{3} \times area\:of\:the\:base \times height](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20area%5C%3Aof%5C%3Athe%5C%3Abase%20%5Ctimes%20height)
From the question, the base of the pyramid is a square.
Hence base area is given by ![L^{2}](https://tex.z-dn.net/?f=L%5E%7B2%7D)
This implies that the volume of the pyramid is
![=\frac{1}{3} \times L^{2}\times H](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20L%5E%7B2%7D%5Ctimes%20H)
![=\frac{1}{3}\times 60^{2} \times 10](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%2060%5E%7B2%7D%20%5Ctimes%2010)
![=\frac{36000}{3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B36000%7D%7B3%7D)
![=12000 in^3](https://tex.z-dn.net/?f=%3D12000%20in%5E3)
Answer:
x^4/21
Step-by-step explanation:
Answer:
![\boxed{\color{blue}\textsf{The percentage increase in price is \textbf{512.22\% }}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ccolor%7Bblue%7D%5Ctextsf%7BThe%20percentage%20increase%20in%20price%20is%20%20%5Ctextbf%7B512.22%5C%25%20%7D%7D%7D)
Step-by-step explanation:
Here the earlier price of the video game was $ 49 and now it's being sold for $ 300 . We need to calculate the percentage increase in price .
So the increase in cost is $( 300 - 49 ) = $ 251 .
So we can calculate the % increase as ,
<u>Subst</u><u>ituting</u><u> the</u><u> respective</u><u> values</u><u> </u><u>:</u><u>-</u>
![\sf\implies \% Increase = \dfrac{ Increase\ in \ price }{Original\ price } \times 100 \\\\\sf\implies \% Increase =\dfrac{\$ 251}{\$ 49 }\times 100 \\\\\sf\implies \% Increase = 5.122 \times 100 \\\\\implies \boxed{\pink{\frak{ \% Increase = 512.24 \% }}}](https://tex.z-dn.net/?f=%5Csf%5Cimplies%20%5C%25%20Increase%20%3D%20%5Cdfrac%7B%20Increase%5C%20in%20%5C%20price%20%7D%7BOriginal%5C%20price%20%7D%20%5Ctimes%20100%20%20%5C%5C%5C%5C%5Csf%5Cimplies%20%20%5C%25%20Increase%20%3D%5Cdfrac%7B%5C%24%20251%7D%7B%5C%24%2049%20%7D%5Ctimes%20100%20%5C%5C%5C%5C%5Csf%5Cimplies%20%20%5C%25%20Increase%20%3D%205.122%20%5Ctimes%20100%20%5C%5C%5C%5C%5Cimplies%20%5Cboxed%7B%5Cpink%7B%5Cfrak%7B%20%20%5C%25%20Increase%20%3D%20512.24%20%5C%25%20%7D%7D%7D)
The second choice for the first problem and the third choice for the second problem