Question

Laura wants to know the volume of her gold ring in cubic centimeters. She gets a rectangular glass with a base 7\text{ cm}7 cm7, start text, space, c, m, end text by 4.5\text{ cm}4.5 cm4, point, 5, start text, space, c, m, end text and fills the glass 8.8\text{ cm}8.8 cm8, point, 8, start text, space, c, m, end text high with water. Laura drops her gold ring in the glass and measures the new height of the water to be 9.2\text{ cm}9.2 cm9, point, 2, start text, space, c, m, end text. What is the volume of Laura’s ring in cubic centimeters

1. nguyetanh
The volume of her gold ring in cubic centimeters will be 12.6 cubic centimeters.

### What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H.
a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.
Then the volume of the prism is given as
V = L x W x H
She gets a rectangular glass with a base of 7 cm by 4.5 cm and fills the glass 8.8 cm high with water.
Laura drops her gold ring into the glass and measures the new height of the water to be 9.2 cm.
Then the volume of her gold ring in cubic centimeters will be
V = 7 × 4.5 ×(9.2 – 8.8)
V = 7 × 4.5 × 0.4
V = 12.6 cubic centimeters
The volume of her gold ring in cubic centimeters will be 12.6 cubic centimeters.