Which statement best describes how the volume of a square-based pyramid is related to the volume of a cube?

A

The volume of a square-based pyramid is 3 times the volume of a cube because a cube can be divided into three congruent square-based pyramids.

B

The volume of a square-based pyramid is

1

2

12

the volume of a cube because each face of the cube can be divided into two congruent triangles.

C

The volume of a square-based pyramid is

1

3

13

the volume of a cube because a cube can be divided into three congruent square-based pyramids.

D

The volume of a square-based pyramid is 2 times the volume of a cube because each face of the cube can be divided into two congruent triangles.

How does reflecting or rotating a figure change the interior angles of the figure?

Sara has been reading about different types of financial grants, including federal pell grants, academic competitiveness grants, smart grants, and teach grants. which statement about these grants is true? filling out a fafsa will not her apply for these grants. she will not have to pay back any funds she receives from these grants. these grants only go to students with less than a 3.0 gpa. she will have to pay back all the funds she receives from these grants.

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?