Volume of Prisms
Grade 7 · Math · Geometry · Mississippi, USA
Lesson Summary
Find the volume of rectangular and triangular prisms using the formula V = Bh.
Explanation
Volume measures the space inside a three-dimensional shape. For any prism, V = B × h, where B is the area of the base and h is the height (the distance between the two bases). For a rectangular prism, B = length × width. For a triangular prism, B = ½ × base × height of the triangle. Volume is always expressed in cubic units.
Practice Questions
Q1: Find the volume of a rectangular prism with length 8 cm, width 3 cm, and height 5 cm.
Answer: V = 8 × 3 × 5 = 120 cm³.
Q2: A triangular prism has a base triangle with base 6 m and height 4 m. The prism is 10 m long. Find the volume.
Answer: B = ½ × 6 × 4 = 12. V = 12 × 10 = 120 m³.
Q3: A cube has edges of 9 in. What is its volume?
Answer: V = 9³ = 729 in³.
People Also Ask
What is Volume of Prisms in Grade 7 Math?+
Volume of Prisms is a lesson in the Geometry chapter of Grade 7 Math. It is part of the Mississippi, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Volume of Prisms?+
Volume of Prisms is taught in Grade 7 as part of the Math curriculum in Mississippi, USA.
How can I help my child with Geometry in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Geometry topics.