Respuesta :

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.