# Test: 3D Shapes - Ambitious

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Question 1:   Radius of a sphere placed in a square equals  $8cm$ ,  find a volume of a square.
$4096c{m}^{3}$
$4000c{m}^{3}$
$512c{m}^{3}$
$2000c{m}^{3}$
Question 2:   Find the volume of a tetrahedron with the side of the basis equal to  $2\sqrt{2}cm$ .
$1c{m}^{3}$
$\frac{4}{3}c{m}^{3}$
$2c{m}^{3}$
$\frac{8}{3}c{m}^{3}$
Question 3:   Calculate a volume of the pyramid, with a rhombus in the basis with diagonals  $4cm$  and  $6cm$ ,  and a height of a pyramid  $10cm$ .
$25c{m}^{3}$
$35c{m}^{3}$
$40c{m}^{3}$
$30c{m}^{3}$
Question 4:   A side of the basis of the triangular pyramid equals  $a=4cm$ ,  apothem  $b=5cm$ .  Find an area of the side of the pyramid.
$20c{m}^{2}$
$45c{m}^{2}$
$10c{m}^{2}$
$30c{m}^{2}$
Question 5:   Calculate a volume of a cylinder, if its height is  $h=4cm$ ,  and an area of the basement  $S=10c{m}^{2}$ .
$30c{m}^{3}$
$60c{m}^{3}$
$50c{m}^{3}$
$40c{m}^{3}$
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