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
2000c m 3
4000c m 3
512c m 3
Question 2:   Find the volume of a tetrahedron with the side of the basis equal to   2 2 cm  .
4 3 c m 3
1c m 3
8 3 c m 3
2c 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  .
35c m 3
30c m 3
40c m 3
25c 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.
30c m 2
20c m 2
10c m 2
45c 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  .
60c m 3
40c m 3
50c m 3
30c m 3
Question 6:   Calculate a volume of a pyramid with the square in the basement and   h=6cm  ,   b=3cm  .

72c m 3
82c m 3
64c m 3
50c m 3
Question 7:   Find the volume of the sphere places in the square with the side   a=8cm   .
206 3 πc m 3
256 3 c m 3
256 3 πc m 3
226 3 πc m 3
Question 8:   Projection of the segment   AB   on the X axis:   A x B x =1  ,  on the Y axis:   A y B y =3  ,  on Z axis:   A z B z =4  ,  find a segment   AB  .
26
21
30
32
Question 9:   Projection of a segment   AB   on X axis:   A x B x =2  ,  on Y axis:   A y B y =1  ,  on Z axis:   A z B z =5  ,  find a segment   AB  .
30
40
34
80
Question 10:   Calculate volume of a pyramid with a square in the basement and   h=4cm  ,   l=5cm  .

144c m 3
50c m 3
48c m 3
30c m 3