# Test: 3D Shapes - Normal

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Question 1:   Calculate the volume of a cuboid, if sides  $a=5cm$  and  $\text{\hspace{0.17em}}b=2cm$  and height  $h=3cm$
$30c{m}^{3}$
$22c{m}^{3}$
$40c{m}^{3}$
$24c{m}^{3}$
Question 2:   Calculate the area of a cube with side  $a=4$
$90c{m}^{2}$
$80c{m}^{2}$
$96c{m}^{2}$
$16c{m}^{2}$
Question 3:   Calculate volume of a sphere with radius  $r=3c{m}^{3}$
$24\pi c{m}^{3}$
$42\pi c{m}^{3}$
$36\pi c{m}^{3}$
$36c{m}^{3}$
Question 4:   Calculate volume of a cylinder, if height  $h=8cm$  and area of the base is  $S=15c{m}^{2}$.
$120c{m}^{3}$
$60c{m}^{3}$
$12c{m}^{3}$
$130c{m}^{3}$
Question 5:   In the cube  $ABCDEFGH$  area of the face  $ABFE$  is equal to  $25c{m}^{2}$,  length of the side $AD$  equals  $5cm$ .  Calculate the volume.
$145c{m}^{3}$
$130c{m}^{3}$
$125c{m}^{3}$
$105c{m}^{3}$
Question 6:   Find a radius of a sphere if the volume is  $972\pi c{m}^{3}$
$\frac{8}{3}cm$
$6cm$
$9cm$
$\frac{13}{3}cm$
Question 7:   In a tetrahedron a side of the triangle, that is a base of the tetrahedron is  $b=3cm$ .  Apothem of the pyramid is  $a=8cm$ .  Find a square of the facet of the pyramid.
$36c{m}^{2}$
$42c{m}^{2}$
$20c{m}^{2}$
$30c{m}^{2}$
Question 8:   Projection of the segment  $AB$  on the X axis:  ${A}_{x}{B}_{x}=5$,  on the Y axis:  ${A}_{y}{B}_{y}=3$,  on the Z axis:  ${A}_{z}{B}_{z}=2$,  find the segment $AB$.
$\sqrt{38}$
$\sqrt{21}$
$\sqrt{40}$
$\sqrt{35}$
Question 9:   Projection of the segment  $AB$  on the X axis:  ${A}_{x}{B}_{x}=8$,  on the Y axis:  ${A}_{y}{B}_{y}=1$,  on the Z axis:  ${A}_{z}{B}_{z}=3$,  find the segment  $AB$.
$\sqrt{80}$
$\sqrt{74}$
$\sqrt{40}$
$64$
Question 10:   Calculate the volume of the pyramid, with the height  $h=4cm$,  and area of the base  $S=12c{m}^{2}$
$20c{m}^{3}$
$14c{m}^{3}$
$18c{m}^{3}$
$16c{m}^{3}$