Complete the mixed-number multiplication sentence

Learning Objectives Formulate a mixed-number multiplication sentence to find a missing dimension of a 3D figure. Solve for an unknown variable in a geometric formula (volume, surface area) involving mixed-number multiplication. Accurately convert mixed numbers to improper fractions as a primary step in solving multiplication and division problems. Apply the concept of reciprocals to isolate a variable in a multiplication sentence involving fractions. Calculate the volume and surface area of prisms and cubes with mixed-number dimensions. Interpret a word problem involving 3D figures and translate it into a solvable multiplication equation. Verify the solution to a geometric problem by substituting the found value back into the original multiplication sentence. An architect...

TermDefinitionExample Mixed NumberA number composed of a whole number and a proper fraction. It represents a value greater than one.3 1/2, which means three whole units and one half of another unit. Improper FractionA fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). Converting mixed numbers to improper fractions is essential for multiplication.The mixed number 3 1/2 is equivalent to the improper fraction 7/2. Multiplication SentenceAn equation that shows factors being multiplied to get a product. In this context, we will solve for a missing factor.For a prism, Length × Width × ? = Volume. For instance, 5 1/4 * 3 * h = 63. Volume of a Rectangular PrismThe measure of the three-dimensional space enclosed by the prism, calculated by multip...

Mixed Number to Improper Fraction Conversion a \frac{b}{c} = \frac{(a \times c) + b}{c} To multiply or divide mixed numbers, you must first convert them into improper fractions. Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. Volume of a Rectangular Prism Formula V = l \times w \times h Use this formula to relate the volume (V) of a rectangular prism to its length (l), width (w), and height (h). If any one of these values is unknown, it can be found by isolating it in the equation. Surface Area of a Cube Formula SA = 6s^2 Use this formula to find the total surface area (SA) of a cube given its side length (s). This can be part of a larger multiplication sentence, for example, to find the number of c...