Respuesta :

Answer:

A) 2.8 m

Step-by-step explanation:

The formula for the volume of a right rectangular prism is:

Volume = Length × breadth × height

We can just put in the values that we know to find the height.

110.1 = 7.8 × 5.1 × height

height = 110.1 ÷ 7.8 ÷ 5.1

height ≈ 2.8 (rounded to nearest tenth)

Thus, the answer is Option A.

Space

Answer:

A) 2.8 m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Geometry

  • Volume of a Rectangular Prism: V = lwh

Step-by-step explanation:

Step 1: Define

l = 7.8 m

w = 5.1 m

V = 110.1 m³

Step 2: Solve for h

  1. Substitute [VRP]:                    110.1 m³ = (7.8 m)(5.1 m)h
  2. Multiply:                                  110.1 m³ = (39.78 m²)h
  3. Isolate h:                                 2.76772 m = h
  4. Rewrite:                                   h = 2.76772 m
  5. Round:                                     h ≈ 2.8 m
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