Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org
  • Geometry
  • Quadrilaterals
  • Rectangular and square pyramid

Rectangular and square pyramid

ans:
syntax error
C
DEL
ANS
±
(
)
÷
×
7
8
9
–
4
5
6
+
1
2
3
=
0
.
auto next question
evaluate answers
calculator
  • Question 1:
    1 pts
    		The net of a paperweight is shown below. Which is closest to the lateral surface area of the paperweight?
    $21cm^{2}$
    $18cm^{2}$
    $9cm^{2}$
    $6cm^{32}$
  • Question 2:
    1 pts
    		The following expression can be used to find the surface area of the pyramid shown on the picture. $$ A=4^{2}+4\cdot \dfrac{4\cdot 8}{2}=16+64=80cm^{2}$$
  • Question 3:
    1 pts
    		The following expression can be used to find the volume of the pyramid shown on the picture. $$ V=\left(5^{2}\cdot 9\right)cm^{3}=225cm^{3}$$
  • Question 4:
    1 pts
    		The following expression can be used to find the surface area of the pyramid shown on the picture. $$ A= \left(30^{2}+2\cdot 30\cdot 17 \right)cm^{2}$$
  • Question 5:
    2 pts
    		Find the volume of the pyramid shown on the picture.
    $V=\left(\dfrac{1}{2}\cdot10\cdot 18\cdot 12\right) cm^{3}$
    $V=\left(10\cdot 18\cdot 12\right) cm^{3}$
    $V=\left(\dfrac{1}{3}\cdot10\cdot 18\cdot 12\right) cm^{3}$
    $V=\left(\dfrac{1}{3}\cdot10\cdot 18\cdot 6\right) cm^{3}$
  • Question 6:
    2 pts
    		The diagonal of the base of the regular rectangular pyramid is $8\sqrt{2} cm,$ and the surface area of one lateral side is $20$ square centimeters. Find the surface area of the pyramid.

    $A=144 cm^{2}$

    $A=169 cm^{2}$

    $A=196 cm^{2}$

    $A=225 cm^{2}$

  • Question 7:
    2 pts
    		The surface area of the base of regular square pyramid is $144$ square centimeters, and the sum of the length of base edge and lateral edge is $22 cm.$ Find the surface area od that pyramid.
    $A=$
  • Question 8:
    2 pts
    		Find the height of the rectangular pyramid shown on the picture.
    Height$=$
  • Question 9:
    3 pts
    		Find the slant height of the square pyramid shown on the picture.
    $7\sqrt{2}cm$
    $3\sqrt{3}cm$
    $6\sqrt{3}cm$
    $9\sqrt{2}cm$
  • Question 10:
    3 pts
    		The total surface area of the frustum will be $$A=32^{2}+16^{2}+4\cdot \left(\dfrac{(16+32)}{2}\cdot 10\right)cm^{2} $$
  • Question 11:
    3 pts
    		A regular pyramid has a height of $11 cm$ and a square base. If the volume of the pyramid is $528$ cubic centimeters, how many centimeters are in the length of one side of its base?

    $5cm$

    $8cm$

    $12cm$

    $14cm$

  • Question 12:
    3 pts
    		Tim has a rectangular prism with a length of $10$ centimeters, a width of $2$ centimeters and an unknown height. He need to built another rectangular prism with a length of $5$ cm and the same height as the orign prism. The volume of this two prism will be the same. Find the width, in centimeters, of the new prism.

    $4cm$

    $8cm$

    $10cm$

    $12cm$

Prism

Pyramid

Rotating solids