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What is the Volume of the square pyramid? (Round to the nearest tenth as needed)

What Is The Volume Of The Square Pyramid Round To The Nearest Tenth As Needed class=

Sagot :

given:

base= 25 mm

height= 28 mm

to find:

the volume of the square pyramid.

solution:

[tex]volume = {a}^{2} \frac{h}{3} [/tex]

[tex]v = {25}^{2} \frac{28}{3} [/tex]

[tex]v = 5833.33333 {mm}^{3} [/tex]

[tex]v = 5833.3 {mm}^{3} [/tex]

Given:-

  • Base , (B) = 25 mm
  • Height , (H) = 28 mm

To Find:-

  • Volume of The Square Pyramid = ??

Solution:-

[tex] \\ \diamond{\underline{\underline{\sf {\;\; Calculating\; Volume\; of \; Pyramid :-}}}} \\ [/tex]

[tex] \\ \footnotesize{\underline {\boxed {\bf{Volume _{ \{ \red{pyramid} \} } \: = \: {a}^{2} \: \: \times \: \dfrac{h}{3} \: }}} }\; \red\bigstar \\ [/tex]

Where,

  • » A denotes Base
  • » H denotes Height

[tex] \\ \sf \implies \: Volume _{ \{ \red{pyramid} \} } \: = \: {a}^{2} \: \: \times \: \dfrac{h}{3} \: \\ [/tex]

[tex]\\ \sf \implies \: Volume _{ \{ \red{pyramid} \} } \: = \: {25}^{2} \: \: \times \: \dfrac{28}{3} \: \\ [/tex]

[tex]\\ \sf \implies \: Volume _{ \{ \red{pyramid} \} } \: = \: 233.3 \: {mm}^{3} \: \\ [/tex]

[tex] \\\implies{\underline{\boxed {\frak{ Volume _{ \{ \red{pyramid} \} } \: = \: 233.3 \: {mm}^{3} }}}}\purple \bigstar\\[/tex]

[tex] \\\qquad \rule{120pt}{3pt}\\[/tex]

Therefore , the volume of Square Pyramid is is 233.3 mm³.